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arxiv: 1802.04616 · v2 · pith:IAR2Q6PVnew · submitted 2018-02-13 · 🧮 math.NT · math.CA· math.CO

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

classification 🧮 math.NT math.CAmath.CO
keywords analoguesformulaeramanujan-typeapproximationarchimedesarithmeticattractivecentury
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The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of $\pi$, 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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