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2012 Mosaic Supercongruences of Ramanujan Type
Jesús Guillera
Experiment. Math. 21(1): 65-68 (2012).

Abstract

In this article, we present analogues of supercongruences of Ramanujan type observed by L. Van Hamme and W. Zudilin. Our congruences are inspired by Ramanujan-type series that involve quadratic algebraic numbers.

Citation

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Jesús Guillera. "Mosaic Supercongruences of Ramanujan Type." Experiment. Math. 21 (1) 65 - 68, 2012.

Information

Published: 2012
First available in Project Euclid: 31 May 2012

zbMATH: 1247.11153
MathSciNet: MR2904908

Subjects:
Primary: 11Y55 , 33C20
Secondary: 11B65 , 11D88 , 11F33

Keywords: hypergeometric series , Ramanujan–Sato-type series , Ramanujan-type series for 1/π and 1/π2 , supercongruences

Rights: Copyright © 2012 A K Peters, Ltd.

Vol.21 • No. 1 • 2012
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