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
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.