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  Hypergeometric modular equations

Cooper, S., & Zudilin, W. (2019). Hypergeometric modular equations. Journal of the Australian Mathematical Society, 107(3), 338-366. doi:10.1017/S144678871800037X.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-91EE-A Version Permalink: https://hdl.handle.net/21.11116/0000-0006-91EF-9
Genre: Journal Article

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Cooper-Zudilin_Hypergeometric modular equations_2019.pdf (Publisher version), 320KB
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© 2018 Australian Mathematical Publishing Association Inc. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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https://doi.org/10.1017/S144678871800037X (Publisher version)
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 Creators:
Cooper, Shaun, Author
Zudilin, Wadim1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, Classical Analysis and ODEs
 Abstract: We record $$ \binom{42}2+\binom{23}2+\binom{13}2=1192 $$ functional
identities that, apart from being amazingly amusing by themselves, find
applications in derivation of Ramanujan-type formulas for $1/\pi$ and in
computation of mathematical constants.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 29
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1609.07276
DOI: 10.1017/S144678871800037X
URI: http://arxiv.org/abs/1609.07276
 Degree: -

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Title: Journal of the Australian Mathematical Society
  Abbreviation : J. Aust. Math. Soc.
Source Genre: Journal
 Creator(s):
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Publ. Info: Cambridge University Press
Pages: - Volume / Issue: 107 (3) Sequence Number: - Start / End Page: 338 - 366 Identifier: -