Paper Citation Record · LEDGER

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.04366.

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

pith.paper-citation-record.v1
2607.04366 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T06:59:55.445988Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0773b8c-a66a-4179-b1ef-0fbbca1bf6cb · outbound

This paper cites Popa, A double Mertens type evaluation , J.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Popa, A double Mertens type evaluation , J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96a87448-a412-4f8c-8e49-2ea52b521f0b · outbound

This paper cites Popa, A triple Mertens evaluation , J.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Popa, A triple Mertens evaluation , J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 121c6a62-6913-42ad-8222-88b838122763 · outbound

This paper cites Tenenbaum, Generalized Mertens sums , in: Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer Proc.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Tenenbaum, Generalized Mertens sums , in: Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer Proc

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38b1f3dc-b114-439c-b0cd-7a050d7ed9df · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory , 3rd ed., Grad.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Tenenbaum, Introduction to Analytic and Probabilistic Number Theory , 3rd ed., Grad

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b15e2ae-bedb-4a9a-8fde-3b95df22355c · outbound

This paper cites Multiple Mertens evaluations.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Multiple Mertens evaluations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e49f397-8a24-4895-b204-b63b0909ad02 · outbound

This paper cites an unresolved cited work.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a49b260-7f1e-45ec-9adc-ebb27e09bf2a · outbound

This paper cites Arias-de-Reyna, On the Theorem of Frullani , Proc.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Arias-de-Reyna, On the Theorem of Frullani , Proc

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdfbe479-bb3a-464e-a8de-8f8294cfdbbe · outbound

This paper cites an unresolved cited work.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36e07c62-35a8-4e79-8a94-94f03d2a723a · outbound

This paper cites Zagier, Values of zeta functions and their applications , in: First European Congress of Math- ematics, Vol.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Zagier, Values of zeta functions and their applications , in: First European Congress of Math- ematics, Vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4a60e69-5bed-426e-9d4d-8c5bcd345750 · outbound

This paper cites Waldschmidt, Multiple polylogarithms: an introduction , in: Number Theory and Discrete Mathematics (A.

Complete Asymptotic Expansion of the Additive Mertens Sum $S_k(x)$ Waldschmidt, Multiple polylogarithms: an introduction , in: Number Theory and Discrete Mathematics (A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:55.445988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.