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Hypergeometric modular equations

Authors :
Cooper, Shaun
Zudilin, Wadim
Source :
J. Aust. Math. Soc. 107 (2019) 338-366
Publication Year :
2016

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.<br />Comment: 31 pages

Details

Database :
arXiv
Journal :
J. Aust. Math. Soc. 107 (2019) 338-366
Publication Type :
Report
Accession number :
edsarx.1609.07276
Document Type :
Working Paper
Full Text :
https://doi.org/10.1017/S144678871800037X