$\left(p,q\right)$-adic Analysis and the Collatz Conjecture | Paper Citation Record

Observation 198d13aa-3f4d-4e40-b398-d880a76e4241 · outbound

This paper cites A problem around Mahler functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A problem around Mahler functions

Reference 1

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Observation d722e4a9-a224-4ac1-9281-8a7da5029cde · outbound

This paper cites Transcendental numbers in thep-adic domain.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Transcendental numbers in thep-adic domain

Reference 2

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Observation 34c31059-45f6-4b74-b677-bcef181050c9 · outbound

This paper cites Vector measures and integral operators.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Vector measures and integral operators

Reference 3

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Observation 8b19aafe-b0c3-4b46-ae72-a4f43043dbb8 · outbound

This paper cites Non-Archimedean vector measures and integral operators.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Non-Archimedean vector measures and integral operators

Reference 4

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Observation 18ca6a1b-a832-4fd8-aaf6-e80a1d7ac52b · outbound

This paper cites A radon nikodym theorem in the non-archimedean setting.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A radon nikodym theorem in the non-archimedean setting

Reference 5

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Observation 0e8ab35e-5a57-4a34-9801-14a15abc28fc · outbound

This paper cites Why is the3x + 1 Problem Hard?.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Why is the3x + 1 Problem Hard?

Reference 6

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Observation 5d1a3844-da4f-41b6-a712-279a41ec2987 · outbound

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 7

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Observation c42eb393-9713-4827-876f-940d9212a017 · outbound

This paper cites The p-adic ergodic theory and ap- plications.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The p-adic ergodic theory and ap- plications

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-11T23:12:50.823164Z

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Observation d37da82e-8403-47a8-8560-e3b5fcf8513b · outbound

This paper cites On total stopping times under3x+1 iteration.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On total stopping times under3x+1 iteration

Reference 9

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Observation ebc96ad8-d808-4849-8824-72413177d10b · outbound

This paper cites Density bounds for the3x + 1 problem. I. Tree- search method.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Density bounds for the3x + 1 problem. I. Tree- search method

Reference 10

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Observation 2ca0fa79-2edd-4d45-a352-d3665b986fb5 · outbound

This paper cites Density bounds for the 3x + 1 problem. II. Krasikov inequalities.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Density bounds for the 3x + 1 problem. II. Krasikov inequalities

Reference 11

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Observation 17c5d5d8-33df-42ca-9402-7eb64cbdf59d · outbound

This paper cites The 3x + 1 semigroup.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The 3x + 1 semigroup

Reference 12

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Observation 175f6ae0-1d3c-44ce-849a-56b999efa131 · outbound

This paper cites Generalized Analytic Functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Generalized Analytic Functions

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-11T23:12:50.756393Z

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Observation 3ca5407c-a566-4dfc-85d4-5abbc2c6e232 · outbound

This paper cites On teaching mathematics.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On teaching mathematics

Reference 14

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Observation 1c15d6be-a833-4c91-b2cc-c723f52496c2 · outbound

This paper cites On the sub-coordinate representation of p- adic functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On the sub-coordinate representation of p- adic functions

Reference 15

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Observation 5cf6bb32-81db-4bd7-a238-3266d293bc40 · outbound

This paper cites Cambridge Mathematical Library (2nd ed.), Cambridge University Press, ISBN 978-0-521-39791-9, MR 0422171.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Cambridge Mathematical Library (2nd ed.), Cambridge University Press, ISBN 978-0-521-39791-9, MR 0422171

Reference 16

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Observation 5b3f6eca-a57a-48f4-a60c-7f6ea0356d30 · outbound

This paper cites A p-adic proof that pi is transcendental.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A p-adic proof that pi is transcendental

Reference 17

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Observation 1b965781-8a46-4d39-b86f-3541910bd73c · outbound

This paper cites Natural Boundaries and Spectral Theory.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Natural Boundaries and Spectral Theory

Reference 18

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Observation 3d9e35d1-8ba6-4fc5-adba-2251f5e55961 · outbound

This paper cites $3x+1$ inverse orbit generating functions almost always have natural boundaries.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture $3x+1$ inverse orbit generating functions almost always have natural boundaries

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.694121Z

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Observation 38eae952-ba24-4497-a0b3-685f67590177 · outbound

This paper cites Harmonic analysis on the p-adic numbers.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Harmonic analysis on the p-adic numbers

Reference 20

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Observation 4de94d8c-46c5-4ac2-bbab-7a3eb028c6c7 · outbound

This paper cites The Pontryagin duals of Q/Z and Q.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The Pontryagin duals of Q/Z and Q

Reference 21

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Observation 1fc6ab51-14f7-41d6-8978-206d65934025 · outbound

This paper cites Visions of the Universe: A Coloring Journey Through Math’s Great Mysteries.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Visions of the Universe: A Coloring Journey Through Math’s Great Mysteries

Reference 22

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Observation 16e8c3ed-7ee8-4081-8b87-40702f808a8b · outbound

This paper cites An Analytic Approach to the Collatz3n + 1Problem for Negative Start Values.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture An Analytic Approach to the Collatz3n + 1Problem for Negative Start Values

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:49.979154Z

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Observation a663b1e3-53c7-4872-b529-7a184c9d4e84 · outbound

This paper cites The 3n+1CollatzProblemandFunctionalEquations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The 3n+1CollatzProblemandFunctionalEquations

Reference 24

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Observation 3d18f17b-6240-48ad-a527-06be74d76cb5 · outbound

This paper cites Functional equations connected with the Collatz prob- lem.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Functional equations connected with the Collatz prob- lem

Reference 25

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Observation a245acb7-e4ff-4e25-a7f8-c9b22edc46db · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 26

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Observation 2c1017b5-42cb-4825-8714-3a2667b6eb54 · outbound

This paper cites Goldie, and Jozef L.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Goldie, and Jozef L

Reference 27

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Observation 8840e136-e585-41df-993f-ac0abcb7972e · outbound

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 28

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Observation c960bfc2-5efd-4ba7-9261-3f267e20ac87 · outbound

This paper cites Bosch, U.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Bosch, U

Reference 29

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Observation 3cff8fac-1510-4492-b9b7-db165b050d47 · outbound

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 30

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Observation abc4df0f-a1b5-4445-ad39-a0c8e4e0f5db · outbound

This paper cites An algebraic fractal approach to Collatz Conjecture.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture An algebraic fractal approach to Collatz Conjecture

Reference 31

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Observation 518f01b7-d492-48d6-9c29-65b85b9f522a · outbound

This paper cites Lectures on Non-Archimedean Function Theory.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Lectures on Non-Archimedean Function Theory

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.684654Z

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Observation 8d3cd72a-eb97-4b91-844d-9040f1d08be5 · outbound

This paper cites (2008).Number theory: Volume II: Analytic and modern tools(Vol.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture (2008).Number theory: Volume II: Analytic and modern tools(Vol

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Observation 5441f993-c76f-47e8-9650-14bec93e97ef · outbound

This paper cites Letter to Professor Mays.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Letter to Professor Mays

Reference 34

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Observation 14f7e1cd-667b-4c02-8037-d10bca124473 · outbound

This paper cites Fontaine’s rings and p-adic L-functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Fontaine’s rings and p-adic L-functions

Reference 35

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Observation 55759dc7-a769-436b-b573-712d91a2a4ec · outbound

This paper cites Infinite Series inp-Adic Fields.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Infinite Series inp-Adic Fields

Reference 36

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Observation 15174151-a8c0-41e6-97e7-468f54236278 · outbound

This paper cites The Local-Global Principle.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The Local-Global Principle

Reference 37

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Observation a365d0ac-cafa-4447-9840-8747074fe8ef · outbound

This paper cites Unpredictable Iterations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unpredictable Iterations

Reference 38

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Observation aa061b9e-733b-4554-a9bb-67c481537b40 · outbound

This paper cites On the existence of cycles of given length in integer sequences likexn + 1 =xn/2 if xn even, andxn+1 = 3xn + 1 otherwise.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On the existence of cycles of given length in integer sequences likexn + 1 =xn/2 if xn even, andxn+1 = 3xn + 1 otherwise

Reference 39

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Observation ae1f2920-4270-42ca-be2b-a272fbe6ff6b · outbound

This paper cites American Mathematical Soc., 2013.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture American Mathematical Soc., 2013

Reference 40

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Observation a97c0330-199f-41db-8b6a-df2a617b4242 · outbound

This paper cites CRC press, 2018.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture CRC press, 2018

Reference 41

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Observation 2c1907c2-9fad-4e15-8545-fd104896fa9c · outbound

This paper cites Springer, 2016.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Springer, 2016

Reference 42

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Observation 3179e9e2-cc9d-4992-95c2-b81a97006cc3 · outbound

This paper cites p-Adic mathematical physics: the first 30 years.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture p-Adic mathematical physics: the first 30 years

Reference 43

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Observation a4cb88ec-987a-4b3a-8916-381265f1c4de · outbound

This paper cites Adelic harmonic oscillator.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Adelic harmonic oscillator

Reference 44

Resolution: malformed identifier; no resolver link, observed 2026-08-11T23:12:50.039169Z

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Observation 0481b502-3794-4cf7-8ddc-e19cef179372 · outbound

This paper cites Springer, 2015.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Springer, 2015

Reference 45

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Observation 4b80b2db-105b-4cde-91d4-72a11c5f2d89 · outbound

This paper cites On the rationality of the zeta function of an algebraic variety.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On the rationality of the zeta function of an algebraic variety

Reference 46

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Observation 31790aa9-4edd-4f94-82b6-f8331c929f59 · outbound

This paper cites World Scientific, 2015.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture World Scientific, 2015

Reference 47

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Observation 6b6ff822-8b3a-496c-baf3-52097fd5ddb8 · outbound

This paper cites Statistical Properties of an Iterated Arithmetic Mapping.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Statistical Properties of an Iterated Arithmetic Mapping

Reference 48

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Observation 23ba729d-dd49-4b17-af62-e8d6ea51b284 · outbound

This paper cites Springer, 2014.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Springer, 2014

Reference 49

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Observation 92b2ca5b-c526-40c2-a4cf-a3e637ba849c · outbound

This paper cites Analytic combinatorics.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Analytic combinatorics

Reference 50

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Observation 73d9b249-fc3f-48c5-8dc7-0096fcf83741 · outbound

This paper cites Mellin transforms and asymptotics: Harmonic sums.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Mellin transforms and asymptotics: Harmonic sums

Reference 51

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Observation 28e9c2f8-1ca6-43b3-a352-25fe30b72258 · outbound

This paper cites Mellin transforms and asymptotics: digital sums.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Mellin transforms and asymptotics: digital sums

Reference 52

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Observation 2c975bd2-4922-4aaf-b3cf-c0bdc1a273c5 · outbound

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 53

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Observation 256bc903-f3f8-4d26-99f8-abc24a95aa90 · outbound

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 54

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Observation f2326375-e8cc-47f3-810a-67a751165d10 · outbound

This paper cites 2013.Ergodic Theory of P-Adic Transformations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture 2013.Ergodic Theory of P-Adic Transformations

Reference 55

Resolution: verified exact; doi, observed 2026-08-11T23:12:50.434304Z

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Observation a3624411-2735-4416-b18b-687965e0bb91 · outbound

This paper cites Bounded analytic functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Bounded analytic functions

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.074173Z

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Observation 08281f42-7473-4df4-a0a9-75724f506676 · outbound

This paper cites Encoding and Visualization in the Collatz Conjecture.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Encoding and Visualization in the Collatz Conjecture

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.673779Z

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Observation 265e83d1-0151-4e7c-adc0-7f927e2df119 · outbound

This paper cites (2011).Automorphic Representations and L-Functions for the General Linear Group: Volume 1(Vol.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture (2011).Automorphic Representations and L-Functions for the General Linear Group: Volume 1(Vol

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Observation ae19de50-0904-4fe8-86f3-ae000c4a9e37 · outbound

This paper cites Springer Science and Business Media, 2012.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Springer Science and Business Media, 2012

Reference 59

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Observation 99b217e6-724b-4943-b37b-edfd310bc0e7 · outbound

This paper cites Hensel’s p-adic Numbers: early history.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Hensel’s p-adic Numbers: early history

Reference 60

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Observation 899276f0-105a-4ec8-880b-81e2e4e463c0 · outbound

This paper cites Walsh Functions and Their Generalizations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Walsh Functions and Their Generalizations

Reference 61

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Observation 9d487a6c-1717-475b-a317-52bac7b6f9b6 · outbound

This paper cites A fractal set associated with the Collatz problem.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A fractal set associated with the Collatz problem

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.092087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dd9f711-0d4f-4d9a-a0a6-e63d26718b0b · outbound

This paper cites Discrete dynamics of one dimensional Collatz like integral value transforma- tions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Discrete dynamics of one dimensional Collatz like integral value transforma- tions

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.095041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46b80888-2f27-4baf-a74a-7079cfa777dd · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.097547Z

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Unavailable: canonical work link unavailable.

Observation 75709136-f7e3-4754-ae7a-ebd4922f74b8 · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.100207Z

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Observation c20b3a82-f0e4-4964-942b-102b88abf3a7 · outbound

This paper cites On a theorem of Szegő.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture On a theorem of Szegő

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.102911Z

Source-reported events for the cited work

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Observation 4ac36242-5547-4625-b72f-10904424b463 · outbound

This paper cites Ueber die Zurückführung der Divisorensysteme auf eine reducirte Form.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Ueber die Zurückführung der Divisorensysteme auf eine reducirte Form

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.105463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be3d24f0-4c22-41ca-9eac-5cb572b625a2 · outbound

This paper cites MacGregor.Fractional Cauchy Transforms.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture MacGregor.Fractional Cauchy Transforms

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.108311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3ca2836-5c13-4d78-935c-d55b92f7a4d2 · outbound

This paper cites Princeton Univer- sity Press, 2016.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Princeton Univer- sity Press, 2016

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.110797Z

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Unavailable: canonical work link unavailable.

Observation 02e709eb-7a23-4235-b066-20cf2d7386e9 · outbound

This paper cites Explorations of the Collatz Conjecture (modm).

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Explorations of the Collatz Conjecture (modm)

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.113582Z

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Observation 9695932a-1dbf-4030-988b-3f36ffff1b2a · outbound

This paper cites The3x + 1 fractal.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The3x + 1 fractal

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.116186Z

Source-reported events for the cited work

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Observation 1fcad30a-a9ea-4fa5-b7d5-fd92034a47bd · outbound

This paper cites Non-archimedean function spaces and the Lebesgue dominated convergence theorem.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Non-archimedean function spaces and the Lebesgue dominated convergence theorem

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.119441Z

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Observation d63a5fab-b3b6-4714-911e-ae2bded8625e · outbound

This paper cites Onp-adic vector measure spaces.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Onp-adic vector measure spaces

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.124747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d602b52e-c254-4357-bd2b-801152a00fcd · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.127242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a28b2c6-932a-4624-9fd3-d19fdad1a36a · outbound

This paper cites Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.130061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b39b18d2-137c-407d-8d8e-1a090c9d0b9a · outbound

This paper cites Generalized probabilities taking values in non-Archimedean fields and in topological groups.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Generalized probabilities taking values in non-Archimedean fields and in topological groups

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.132734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12783ab7-b1b3-4f4b-820d-90fa5639569d · outbound

This paper cites The measure-theoretical ap- proach top-adic probability theory.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The measure-theoretical ap- proach top-adic probability theory

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.135257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ffd3827-be0f-4865-9cd1-febbfd9d19fd · outbound

This paper cites Distributional asymptotics andp-adic Tauberian and Shannon–Kotelnikov theorems.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Distributional asymptotics andp-adic Tauberian and Shannon–Kotelnikov theorems

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.138556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad01f666-afeb-4633-bd8a-c95321769011 · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.142013Z

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Unavailable: canonical work link unavailable.

Observation e9d9e388-1275-46d9-95fe-d18c755900a8 · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.145087Z

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Observation 9d436c3a-24bb-472d-9097-065e1d60108a · outbound

This paper cites Non-Archimedean Duality: Algebras, Groups, and Multipliers.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Non-Archimedean Duality: Algebras, Groups, and Multipliers

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.611118Z

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 8affbe76-e35f-4f02-b1ee-c8e0efab0d02 · outbound

This paper cites RCWA: Residue-Class-Wise Affine Groups.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture RCWA: Residue-Class-Wise Affine Groups

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.150563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 946fc475-07ed-457a-ad22-98731cecab7d · outbound

This paper cites Structure Theorem for (d,g,h)-Maps.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Structure Theorem for (d,g,h)-Maps

Reference 83

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.600850Z

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 3a2f39b5-1171-453c-a211-3e7fa73d89d9 · outbound

This paper cites Stochastic Models for the 3x+1 and 5x+1 Problems.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Stochastic Models for the 3x+1 and 5x+1 Problems

Reference 84

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:12:50.591644Z

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 b6e937fa-55ee-490a-908f-98f8dbf2ed44 · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.158961Z

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Unavailable: canonical work link unavailable.

Observation 5237dbea-3eee-4409-a268-eb0479c66d4e · outbound

This paper cites How many numbers satisfy the3x + 1 conjecture?.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture How many numbers satisfy the3x + 1 conjecture?

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.161427Z

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Unavailable: canonical work link unavailable.

Observation 9b1dc01f-0051-4759-9556-e1b7eaac7ea0 · outbound

This paper cites Tate’s thesis.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Tate’s thesis

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.164075Z

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Unavailable: canonical work link unavailable.

Observation 44d6bb38-7d98-4036-bd37-51bb83410b49 · outbound

This paper cites Gibbs phenomenon for Fourier partial sums onZp.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Gibbs phenomenon for Fourier partial sums onZp

Reference 88

Resolution: verified exact; doi, observed 2026-08-11T23:12:50.425085Z

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 ea1e199b-6739-49f2-a910-a1ec7b808e41 · outbound

This paper cites American Mathematical Soc., 2010.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture American Mathematical Soc., 2010

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.170048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f7d249a-a8ab-445b-bce8-ae1cb9d0316b · outbound

This paper cites The3x+1 problem and its generalizations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The3x+1 problem and its generalizations

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.172593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f817ed-91e0-4614-90aa-759a8633c9a0 · outbound

This paper cites The set of rational cycles for the3x+1 problem.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The set of rational cycles for the3x+1 problem

Reference 91

Resolution: verified exact; doi, observed 2026-08-11T23:12:50.417001Z

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 ead593f6-1cc7-4ded-9a64-cbb8316ad865 · outbound

This paper cites an unresolved cited work.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Unresolved cited work

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.177879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f49962f-67fe-4803-b1c2-7ba8df59d67c · outbound

This paper cites The Collatz conjecture and De Bruijn graphs.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The Collatz conjecture and De Bruijn graphs

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-11T23:12:50.180601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d8c267a-70fc-4dfb-9992-250381332c4f · outbound

This paper cites A Markov process underlying the generalized Syracuse algorithm.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A Markov process underlying the generalized Syracuse algorithm

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:12:51.265494Z

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 2cf90e9c-a82b-4bb8-a446-6ab7eecfd130 · outbound

This paper cites A Paley-Wiener Theorem for Locally Compact Abelian Groups.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture A Paley-Wiener Theorem for Locally Compact Abelian Groups

Reference 95

Resolution: verified exact; raw_fallback, observed 2026-08-11T23:12:50.581863Z

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 5ee002e3-27c3-41bd-9781-4404e5d1a137 · outbound

This paper cites Arithmetic properties of the solutions of a class of functional equations.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Arithmetic properties of the solutions of a class of functional equations

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:12:51.258234Z

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 812ca764-10cd-4798-b6f5-43042c0cb435 · outbound

This paper cites Quasi-Invariant and Pseudo-Differentiable Measures with Values in Non- ArchimedeanFieldsonaNon-ArchimedeanBanachSpace.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Quasi-Invariant and Pseudo-Differentiable Measures with Values in Non- ArchimedeanFieldsonaNon-ArchimedeanBanachSpace

Reference 97

Resolution: verified exact; doi, observed 2026-08-11T23:12:50.408608Z

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 a406de0a-067e-4242-90c2-67353fc8b8d1 · outbound

This paper cites The Laplace Transform for Locally Compact Abelian Groups.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The Laplace Transform for Locally Compact Abelian Groups

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:12:51.250758Z

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 ff9787e3-8fe0-4c84-823d-c946d84093b1 · outbound

This paper cites Introduction to p-adic numbers and their functions.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Introduction to p-adic numbers and their functions

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:12:51.243539Z

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 b04aaf80-53c6-43c9-809f-d08e0e71d46c · outbound

This paper cites An Interpolation Series for Continuous Functions of ap-adic Variable.

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture An Interpolation Series for Continuous Functions of ap-adic Variable

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:12:51.236442Z

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.

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