A p-adic analogue of a formula of Ramanujan
Number Theory
2021-02-03 v1 Combinatorics
Abstract
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of the Gamma function. Based on numerical computations, Van Hamme recently conjectured -adic analogues to such formulae. Using a combination of ordinary and Gaussian hypergeometric series, we prove one of these conjectures.
Keywords
Cite
@article{arxiv.0708.3307,
title = {A p-adic analogue of a formula of Ramanujan},
author = {Dermot McCarthy and Robert Osburn},
journal= {arXiv preprint arXiv:0708.3307},
year = {2021}
}
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10 pages