Paper Citation Record · LEDGER

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.27241.

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pith.paper-citation-record.v1
2607.27241 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T23:44:09.414218Z

measured 31 of 31 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

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31 of 31 outbound references displayed

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Outbound references

Observation 66fbb2bf-8602-4314-965b-82973510a851 · outbound

This paper cites Ramanujan’s master theorem.The Ramanujan Journal, 29(1):103–120, 2012.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Ramanujan’s master theorem.The Ramanujan Journal, 29(1):103–120, 2012

Reference 1

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Observation 6d1686c3-6f24-4d7c-8903-57ffa1b86a73 · outbound

This paper cites The quarterly reports of S.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant The quarterly reports of S

Reference 2

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Observation e57d90c1-00a5-4e59-80ec-23d03d9a2821 · outbound

This paper cites Berndt.Ramanujan ’s Notebooks: Part I.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Berndt.Ramanujan ’s Notebooks: Part I

Reference 3

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Observation 405e9466-1168-43d7-bf28-597c5cf74c62 · outbound

This paper cites American Mathematical Soc., 1999.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant American Mathematical Soc., 1999

Reference 4

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Observation c97e628b-99ef-4feb-90c0-7d011e96be14 · outbound

This paper cites On certain extensions of Ramanujan's Master Theorem and their applications.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant On certain extensions of Ramanujan's Master Theorem and their applications

Reference 5

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Observation 064a8bdc-39ce-46b8-a6a0-dc7c0108697c · outbound

This paper cites A generalized Ramanujan master theorem and integral representations of meromorphic functions.The Ramanujan Journal, 66(1):8, 2025.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant A generalized Ramanujan master theorem and integral representations of meromorphic functions.The Ramanujan Journal, 66(1):8, 2025

Reference 6

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Observation d84daccb-d54e-40c6-be04-2b150bff59bf · outbound

This paper cites An operational calculus generalization of Ramanujan’s master theorem.Journal of Mathematical Analysis and Applications, 523(2):127029, 2023.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant An operational calculus generalization of Ramanujan’s master theorem.Journal of Mathematical Analysis and Applications, 523(2):127029, 2023

Reference 7

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Observation 3072f030-145d-42bc-81b3-91a3c09a8efe · outbound

This paper cites Ramanujan’s master theorem for symmetric cones.Pacific Journal of Mathematics, 175(2):447–490, 1996.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Ramanujan’s master theorem for symmetric cones.Pacific Journal of Mathematics, 175(2):447–490, 1996

Reference 8

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Observation 43013973-16c9-4e23-90fb-7f6f575a0743 · outbound

This paper cites Ramanujan’s master theorem for Riemannian sym- metric spaces.Journal of Functional Analysis, 262(11):4851–4890, 2012.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Ramanujan’s master theorem for Riemannian sym- metric spaces.Journal of Functional Analysis, 262(11):4851–4890, 2012

Reference 9

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Observation da33ab2a-4100-4a6a-97fc-b32c9c88bf47 · outbound

This paper cites Ramanujan’s master theorem for the hypergeo- metric Fourier transform associated with root systems.Journal of Fourier Analysis and Applications, 19(6):1150–1183, 2013.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Ramanujan’s master theorem for the hypergeo- metric Fourier transform associated with root systems.Journal of Fourier Analysis and Applications, 19(6):1150–1183, 2013

Reference 10

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Observation 3c29bee3-44d6-422e-8497-7eab1801ea5f · outbound

This paper cites Compatibility of the method of brackets with classical integration rules.Open Mathematics, 21(1):20220581, 2023.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Compatibility of the method of brackets with classical integration rules.Open Mathematics, 21(1):20220581, 2023

Reference 11

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Observation 2c59379f-ae56-4330-a779-5b70ed3ae5fe · outbound

This paper cites PhD thesis, Tulane University, 2023.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant PhD thesis, Tulane University, 2023

Reference 12

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Observation d36bc613-fe7e-4376-a47e-e7f074531c95 · outbound

This paper cites An extension of the method of brackets.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant An extension of the method of brackets

Reference 13

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Observation fea2ec3e-26eb-465a-a17c-bc591ee07693 · outbound

This paper cites An extension of the method of brackets.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant An extension of the method of brackets

Reference 14

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Observation 67fdcf48-f2cd-435d-a936-6825c14ea907 · outbound

This paper cites The method of brackets.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant The method of brackets

Reference 15

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Observation c853522b-0158-49a6-9a81-432e96a7305f · outbound

This paper cites Definite integrals by the method of brackets.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Definite integrals by the method of brackets

Reference 16

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Observation f07bf327-c21e-4d8a-930b-1bb38651d6d9 · outbound

This paper cites Method of brackets: Revisiting a technique for calculating Feynman integrals and certain definite integrals.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Method of brackets: Revisiting a technique for calculating Feynman integrals and certain definite integrals

Reference 17

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Observation 6c7f17a4-3985-49a4-b433-8c49fe973da0 · outbound

This paper cites Method of Brackets and Feynman diagrams evaluation.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Method of Brackets and Feynman diagrams evaluation

Reference 18

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Observation 240745ad-a3bc-4773-97c7-811c26437a90 · outbound

This paper cites Mellin transforms and asymp- totics: Harmonic sums.Theoretical Computer Science, 144(1-2):3–58, 1995.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Mellin transforms and asymp- totics: Harmonic sums.Theoretical Computer Science, 144(1-2):3–58, 1995

Reference 19

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Observation 23ec777c-7b1c-46eb-a622-280e8266474a · outbound

This paper cites Bleistein and R.A.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Bleistein and R.A

Reference 20

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Observation 3b013029-437f-482e-9e7f-3dc75c0fcb06 · outbound

This paper cites Cambridge University Press, 2001.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Cambridge University Press, 2001

Reference 21

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Observation a2a20306-909a-4969-b6f2-ba4a8ed10a5d · outbound

This paper cites Hyperbolic measures, moments and coefficients.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Hyperbolic measures, moments and coefficients

Reference 22

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Observation 0a0f884a-f8f3-4780-9f7b-3b15038de214 · outbound

This paper cites Central factorial numbers; their main properties and some applications.Numerical Functional Analysis and Optimization, 10(5-6):419–488, 1989.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Central factorial numbers; their main properties and some applications.Numerical Functional Analysis and Optimization, 10(5-6):419–488, 1989

Reference 23

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Observation 6c46547d-e8b6-4503-aae3-9b35e50663b3 · outbound

This paper cites Chap- man and Hall/CRC, 2016.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Chap- man and Hall/CRC, 2016

Reference 24

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Observation 4f9c73e0-d928-4deb-8df0-5018c6408ec9 · outbound

This paper cites Titchmarsh.Introduction to the Theory of Fourier Integrals.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Titchmarsh.Introduction to the Theory of Fourier Integrals

Reference 25

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Observation af81cb5f-ff82-4036-bd15-4e19a99af5fc · outbound

This paper cites Derivative polynomials for tangent and secant.The American Mathe- matical Monthly, 102(1):23–30, 1995.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Derivative polynomials for tangent and secant.The American Mathe- matical Monthly, 102(1):23–30, 1995

Reference 26

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Observation 5dd3b11f-ed0a-4c0b-9a31-8ea8307ef8a7 · outbound

This paper cites Derivative polynomials and closed-form higher derivative formulae.Ap- plied Mathematics and Computation, 215(8):3002–3006, 2009.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Derivative polynomials and closed-form higher derivative formulae.Ap- plied Mathematics and Computation, 215(8):3002–3006, 2009

Reference 27

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Observation 01c40ce3-aa96-42b2-b47b-797025521462 · outbound

This paper cites an unresolved cited work.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Unresolved cited work

Reference 28

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Observation 32dd5705-ca3e-4131-ab5f-701279de32d8 · outbound

This paper cites The probability law for the sum ofnindependent variables, each subject to the law (1/(2h)) sech(πx/(2h)).Bulletin of the American Mathematical Society, 40(4):284–290, 1934.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant The probability law for the sum ofnindependent variables, each subject to the law (1/(2h)) sech(πx/(2h)).Bulletin of the American Mathematical Society, 40(4):284–290, 1934

Reference 29

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Observation a7d0645a-c0c0-4a38-a190-41c0447f2b64 · outbound

This paper cites Generalized hyperbolic secant distributions.Journal of the American Statistical Association, 63(321):329–337, 1968.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Generalized hyperbolic secant distributions.Journal of the American Statistical Association, 63(321):329–337, 1968

Reference 30

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Observation 8207f87e-63a0-4fee-aadf-ca2fc25ef18a · outbound

This paper cites Infinitely divisible laws associated with hyperbolic functions.

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant Infinitely divisible laws associated with hyperbolic functions

Reference 31

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