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ON SOME SUPERCONGRUENCES CONCERNING TRUNCATED HYPERGEOMETRIC SERIES.

Authors :
KALITA, GAUTAM
CHETRY, ARJUN SINGH
Source :
Proceedings of the American Mathematical Society. Feb2019, Vol. 147 Issue 2, p533-546. 14p.
Publication Year :
2019

Abstract

Using some formulas of hypergeometric series and properties of the gamma function, we deduce certain p-adic supercongruence relations concerning truncated hypergeometric series. As consequences, we confirm the conjectural supercongruences (see Conjecture 1.2 [Proc. Amer. Math. Soc. 145 (2017), no. 2, 501-508]) posed by Bing He and extend them to all primes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
147
Issue :
2
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
133902278
Full Text :
https://doi.org/10.1090/proc/14227