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arXiv · 1802.04616

Ramanujan-type formulae for $1/π$: $q$-analogues

Victor J. W. Guo·Wadim Zudilin
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Abstract

The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of $π$, Archimedes' constant, remain an attractive object of arithmetic study. In this note we discuss some $q$-analogues of Ramanujan-type evaluations and of related supercongruences.

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Victor J. W. Guo, Wadim Zudilin. 2018-02-21. Ramanujan-type formulae for $1/π$: $q$-analogues. https://doi.org/10.1080/10652469.2018.1454448

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