On some supercongruence conjectures for truncated hypergeometric series

Gautam Kalita () and Arijit Jana ()
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Gautam Kalita: Indian Institute of Information Technology Guwahati
Arijit Jana: Indian Institute of Information Technology Guwahati

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 168-192

Abstract: Abstract In this paper, we prove some supercongruence relations for truncated hypergeometric series. As particular cases, we confirm certain recent conjectural supercongruences.

Keywords: Hypergeometric series; Gamma function; Supercongruence; Rising factorial; 11A07; 11D88; 33B15; 33C20 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00072-1

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