Paper Citation Record · LEDGER

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

As of 12 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 3 inbound Pith citation observations for arXiv:2412.13512.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.13512 v2

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:10:08.569103Z

measured 78 of 78 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:49:13.087868Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T05:25:57.858292Z

Reference resolution

75 of 75 outbound references displayed

verified exact16
verified fuzzy38
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 450dd333-9453-4c32-9b0b-110cf8ab6870 · outbound

This paper cites Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.090730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 262440cc-cf96-4a99-9702-5744dd1f693e · outbound

This paper cites The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.103776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 389d214a-2bcb-4105-9e6e-46736daab5fa · outbound

This paper cites An approach to the evaluation of three- and four-point ladder diagrams.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals An approach to the evaluation of three- and four-point ladder diagrams

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.481634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 478871fc-30d6-4806-9484-1f27ec05b67a · outbound

This paper cites Exact results for three- and four-point ladder diagrams with an arbitrary number of rungs.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Exact results for three- and four-point ladder diagrams with an arbitrary number of rungs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.465328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6b81a5dd-b9fe-4ee6-af1f-35870cc7a7cd · outbound

This paper cites Fourier transforms of UD integrals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Fourier transforms of UD integrals

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.136008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9eefb2be-ac8a-4900-beb8-d20e2f2e5757 · outbound

This paper cites Triangle UD integrals in the position space.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Triangle UD integrals in the position space

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.145058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ad6bf32-70e4-476c-a2fd-17a409d0f69f · outbound

This paper cites Transformations of triangle ladder diagrams.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Transformations of triangle ladder diagrams

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.153238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e714b4a-3be2-4487-a837-6fd07701e956 · outbound

This paper cites Summation of an infinite series of ladder diagrams,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Summation of an infinite series of ladder diagrams,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.448867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 57274762-744d-4d84-8216-2fd1f7e4e367 · outbound

This paper cites Calculation of ladder diagrams in arbitrary order.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Calculation of ladder diagrams in arbitrary order

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.432187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 900dc265-e3fb-45b0-9783-c027cbbaf512 · outbound

This paper cites Belokurov-Usyukina loop reduction in non-integer dimension.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Belokurov-Usyukina loop reduction in non-integer dimension

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.177051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2582de84-6aeb-45dc-8912-2964cb132134 · outbound

This paper cites Box ladders in non-integer dimension.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Box ladders in non-integer dimension

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.183637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7165dcd7-c0c1-4138-9446-7506d360a99a · outbound

This paper cites Renormalizations in softly broken N = 1 theories: Slavnov-Taylor identities,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Renormalizations in softly broken N = 1 theories: Slavnov-Taylor identities,

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:10:09.556160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad10d23f-2813-46a5-955c-0b22b01f5323 · outbound

This paper cites Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.196952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d00ea24-5026-40e7-9e5b-47530a4817f9 · outbound

This paper cites New four-dimensional integrals by Mellin-Barnes transform.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals New four-dimensional integrals by Mellin-Barnes transform

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.202530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b85dd4e-df31-4e42-a391-7cc000d49b46 · outbound

This paper cites Effective action of dressed mean fields for N = 4 super-Yang-Mills theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Effective action of dressed mean fields for N = 4 super-Yang-Mills theory

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.385781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3cdb998c-4220-447f-a405-5f590f2e8474 · outbound

This paper cites On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.350402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6daa503c-09f8-47be-aa1e-40b749098338 · outbound

This paper cites Towards the two-loop Lcc vertex in Landau gauge.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Towards the two-loop Lcc vertex in Landau gauge

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.318930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d4d2ad0-5f49-495c-8e31-5381560e4bb1 · outbound

This paper cites Further results for the two-loop Lcc vertex in the Landau gauge,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Further results for the two-loop Lcc vertex in the Landau gauge,

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:10:09.289046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9e87900e-209c-442b-8794-9668ca129672 · outbound

This paper cites Gluon self-interaction in the position space in Landau gauge.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Gluon self-interaction in the position space in Landau gauge

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.209037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e5ccfd8-f606-467b-89a4-0cfa67b24535 · outbound

This paper cites Recent Developments in Conformal Invariant Quantum Field Theory,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Recent Developments in Conformal Invariant Quantum Field Theory,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.416504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3beb057a-afc0-464a-9139-dafc960af824 · outbound

This paper cites A New Approach to the Conformal Invariance Problem in Quantum Electrodynamics,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A New Approach to the Conformal Invariance Problem in Quantum Electrodynamics,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.400186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8661852a-8b46-45ad-85e0-5aecea4eafc4 · outbound

This paper cites On conformal invariant integrals involving spin one-half and spin-one particles.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals On conformal invariant integrals involving spin one-half and spin-one particles

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.183036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f032de8d-30e3-404b-80b2-b9ad742d9d83 · outbound

This paper cites Three-point Green function of massless QED in position space to lowest order.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Three-point Green function of massless QED in position space to lowest order

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.159947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e65c045f-ec50-4d7a-bc38-f66242292721 · outbound

This paper cites External leg amputation in conformal invariant three-point function.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals External leg amputation in conformal invariant three-point function

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.135625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a43ea83a-d0cf-4bc8-bb0c-a8644507339c · outbound

This paper cites Solution to Bethe-Salpeter equation via Mellin-Barnes transform.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Solution to Bethe-Salpeter equation via Mellin-Barnes transform

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.271011Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5260561-9e27-490f-b091-856231b3fe6a · outbound

This paper cites An approach to solve Slavnov-Taylor identities in nonsupersymmetric non-Abelian gauge theories.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals An approach to solve Slavnov-Taylor identities in nonsupersymmetric non-Abelian gauge theories

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.090594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7de048d9-7ba0-4f34-9ff4-4c2c1a66957b · outbound

This paper cites QCD effective action with dressing functions - consistency checks in the perturbative regime.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals QCD effective action with dressing functions - consistency checks in the perturbative regime

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.061122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef9b8deb-8018-4815-b024-91f02e7cacf3 · outbound

This paper cites Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.288341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99037860-162d-474d-8f30-f62744019b6a · outbound

This paper cites The solution to Slavnov-Taylor identities in D4 N=1 SYM.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The solution to Slavnov-Taylor identities in D4 N=1 SYM

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:09.014663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a8b176f-00bf-4534-bc72-93c3eb441df7 · outbound

This paper cites A new development of the theory of the hypergeometric functions.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A new development of the theory of the hypergeometric functions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.381682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e70d92ef-159c-4a1b-8042-868cc62770d8 · outbound

This paper cites A transformation of generalized hypergeometric series.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A transformation of generalized hypergeometric series

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.363766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9c81498d-8e39-433d-b6ad-a4d8dd553e9d · outbound

This paper cites Evaluating Feynman integrals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Evaluating Feynman integrals

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.345229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea49c31c-3e19-43c5-b655-45f8703daa50 · outbound

This paper cites Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.316924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26c25c61-9097-41c0-90fd-2f0148d1e0bc · outbound

This paper cites Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.322811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ff58324-d749-4a25-a056-746065e4a5d0 · outbound

This paper cites Mellin-Barnes and the method of brackets.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Mellin-Barnes and the method of brackets

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.327897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa14436f-980e-4faa-bcb4-66ee05cd4562 · outbound

This paper cites Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.333469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 696a7b74-8085-4ac3-906d-9b000f690482 · outbound

This paper cites Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.339402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffdd31ae-e420-43b9-8c2a-0fd03346fe68 · outbound

This paper cites Theoretical Predictions for Critical Exponents at the λ-Point of Bose Liquids.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Theoretical Predictions for Critical Exponents at the λ-Point of Bose Liquids

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.328582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb5f9ba9-0a15-4584-839c-6c9b716e6029 · outbound

This paper cites 1/N Expansion: Calculation Of The Exponents Eta And Nu In The Order 1/N**2 For Arbitrary Number Of Dimensions.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals 1/N Expansion: Calculation Of The Exponents Eta And Nu In The Order 1/N**2 For Arbitrary Number Of Dimensions

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.311741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation abe4b061-1ec6-4906-9333-f04ae3cafcd4 · outbound

This paper cites The Field Theoretic Renormalization Group in Critical Behaviour Theory and Stochastic Dynamics.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The Field Theoretic Renormalization Group in Critical Behaviour Theory and Stochastic Dynamics

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.294341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a0ba5d39-2a58-46fd-a82f-cc4c1907101f · outbound

This paper cites Calculation Of Many Loop Diagrams Of Perturbation Theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Calculation Of Many Loop Diagrams Of Perturbation Theory

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.278000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 515ec826-0edb-4260-923b-a2edb968d9e0 · outbound

This paper cites Analytical Methods For Multiloop Calculations: Two Lectures On The Method Of Uniqueness.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Analytical Methods For Multiloop Calculations: Two Lectures On The Method Of Uniqueness

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.259492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b9f6e0e3-a543-47ee-a5f0-716d4b410a03 · outbound

This paper cites Evaluation of the second virial coefficient for the Mie potential using the method of brackets.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Evaluation of the second virial coefficient for the Mie potential using the method of brackets

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:08.905375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 128ce81a-8959-4a04-a99c-5ed5d8b42344 · outbound

This paper cites A deep look into the Dagum family of isotropic covariance functions.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A deep look into the Dagum family of isotropic covariance functions

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.381914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1ae9750-3fd7-4ec7-86d8-4ecb5c3f7add · outbound

This paper cites Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.386932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4dc5108-607a-4d7b-b32a-bb3bf44e491a · outbound

This paper cites Convergence Arguments to Bridge Cauchy and Mat\'ern Covariance Functions.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Convergence Arguments to Bridge Cauchy and Mat\'ern Covariance Functions

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.393151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b4c56ed-8a79-4f72-9f21-c7aa6fa48f5d · outbound

This paper cites Path integrals in quantum mechanics, statistics, polymer physics, and financial markets.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Path integrals in quantum mechanics, statistics, polymer physics, and financial markets

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.237743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e45bddc-74b2-47fe-89a7-06320db22969 · outbound

This paper cites Habilitationsschrift: Renormalization and Knot Theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Habilitationsschrift: Renormalization and Knot Theory

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:08.825889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 59c2e004-f107-40dd-b7ec-ac74c6ad413a · outbound

This paper cites Configuration space integral for long n-knots, the Alexander polynomial and knot space cohomology.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Configuration space integral for long n-knots, the Alexander polynomial and knot space cohomology

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:10:08.801068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 401d58ea-dbd7-44f1-8b5e-83b3e6813534 · outbound

This paper cites Deformation quantization of Poisson manifolds, I.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Deformation quantization of Poisson manifolds, I

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.415208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 319ac6b3-31a6-45ce-acb8-3265e630b204 · outbound

This paper cites A K3 in phi4.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A K3 in phi4

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:08.420970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0263bd70-2a40-4977-a35e-11b90bb5179e · outbound

This paper cites The wheel classes in the locally finite homology of GLn(Z), canonical integrals and zeta values,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The wheel classes in the locally finite homology of GLn(Z), canonical integrals and zeta values,

Reference 52

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:10:08.735463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation be38488a-ef25-4d3c-b0d6-c4e44d994287 · outbound

This paper cites Model link and knot mapping in quantum electrodynamics.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Model link and knot mapping in quantum electrodynamics

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.216844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 303ba60f-dacf-4e7a-952c-e1538429adb4 · outbound

This paper cites Space-time approach to nonrelativistic quantum mechanics,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Space-time approach to nonrelativistic quantum mechanics,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.196440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 886d8bee-7492-4f70-8b88-d79dbcf78292 · outbound

This paper cites Space - time approach to quantum electrodynamics,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Space - time approach to quantum electrodynamics,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.175101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 33bc9a0f-5a8f-4250-8660-cacf87f5a727 · outbound

This paper cites Mathematical formulation of the quantum theory of electromagnetic interaction,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Mathematical formulation of the quantum theory of electromagnetic interaction,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.154645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2dcb9e3d-53a7-43f4-ac76-43ff0a4ce38a · outbound

This paper cites Quantum Mechanics and Path Integrals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Quantum Mechanics and Path Integrals

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.135921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5aaa7ea5-3923-4281-9226-4ae44355880e · outbound

This paper cites The Feynman Lectures on Physics, Volume II. Electromagnetism and Matter.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The Feynman Lectures on Physics, Volume II. Electromagnetism and Matter

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.116600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b717841a-fba5-4486-b1ab-49cc79c07e6a · outbound

This paper cites Scalar One Loop Integrals,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Scalar One Loop Integrals,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.097462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cb4e1906-a2fb-4248-8267-4a1ddafd214d · outbound

This paper cites FF: A Package to evaluate one loop Feynman diagrams,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals FF: A Package to evaluate one loop Feynman diagrams,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.074863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eacdbc5a-ccb8-4e29-9064-c555600267b7 · outbound

This paper cites Automatized one loop calculations in four-dimensions and D-dimensions,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Automatized one loop calculations in four-dimensions and D-dimensions,

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.054273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e86ba767-ee77-4bd6-a760-9dfb20c870a3 · outbound

This paper cites A New hypergeometric representation of one loop scalar integrals in d dimensions,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals A New hypergeometric representation of one loop scalar integrals in d dimensions,

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.032716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 044d537e-5f39-4b9f-9ccb-1a1a3cb97ae3 · outbound

This paper cites Path integral in a magnetic field using the Trotter product formula.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Path integral in a magnetic field using the Trotter product formula

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:10.013390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation be00051b-f443-4889-990a-c3ef5c04ca5a · outbound

This paper cites Integral representations for correlation functions of the XXZ chain at finite temperature,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Integral representations for correlation functions of the XXZ chain at finite temperature,

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.994456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e82c1530-b132-4550-bc5b-096b0eb28299 · outbound

This paper cites Hidden Grassmann Structure in the XXZ Model IV: CFT limit,.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Hidden Grassmann Structure in the XXZ Model IV: CFT limit,

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.972473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c8c6a91-5d50-42f1-8be8-b24807bc427c · outbound

This paper cites Kac, On distributions of certain Wiener functionals, Trans.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Kac, On distributions of certain Wiener functionals, Trans

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.949265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 774ecde6-4c01-4898-b42f-f155d38c00e7 · outbound

This paper cites Gonzalez-Gaxiola, F.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Gonzalez-Gaxiola, F

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.923258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f00163e-1b24-4082-9c9f-af3d9cb577db · outbound

This paper cites Homology of group systems with applications to knot theory.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Homology of group systems with applications to knot theory

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.902892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c6093bb-ee4e-4978-8e9b-b5942b049d03 · outbound

This paper cites The loop expansion of the Kontsevich integral, the null-move and S-equivalence.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals The loop expansion of the Kontsevich integral, the null-move and S-equivalence

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.881426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a83b132-d9e0-4c4e-883e-41d3ed74e895 · outbound

This paper cites Diagram invariants of knots and the Kontsevich integral.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Diagram invariants of knots and the Kontsevich integral

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.859429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e882518d-4b31-4d61-8eae-62653fc1ff7a · outbound

This paper cites Functional integration and the theory of knots.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Functional integration and the theory of knots

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.833168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27883a8a-8c47-41a6-8043-c85e7f2e7f4d · outbound

This paper cites An Introduction to Knot Theory and Functional Integrals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals An Introduction to Knot Theory and Functional Integrals

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.812972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36bdefbf-2618-48a3-a6f4-c66839aa35be · outbound

This paper cites Mathematical Nanotechnology: Quantum Field Intentionality.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Mathematical Nanotechnology: Quantum Field Intentionality

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.785687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 01960e9b-5215-49ca-a677-1d225a3869c7 · outbound

This paper cites Intentional Quantum Dynamics: Entangling Choices and Goals.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Intentional Quantum Dynamics: Entangling Choices and Goals

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.765399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a736226e-0a5a-48ee-abec-c8012e8b73df · outbound

This paper cites Quantum Mechanics and Intentionality.

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals Quantum Mechanics and Intentionality

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:09.746298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 25429937-35dc-4a4f-83e3-2572bec6a04e · inbound

Numerical computation of Fox functions cites this paper.

Numerical computation of Fox functions A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-07T04:49:13.087868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49cd281a-97f1-48d1-82e0-1e2e3f955ff2 · inbound

DGLAP-BFKL duality from QCD to quantum computers cites this paper.

DGLAP-BFKL duality from QCD to quantum computers A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T10:19:46.394578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eeebe628-c3d8-42a5-b10b-e07c303ecc92 · inbound

Inverse Laplace and Mellin integral transforms modified for use in quantum communications cites this paper.

Inverse Laplace and Mellin integral transforms modified for use in quantum communications A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:25:57.866818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.