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ON SOME SUPERCONGRUENCES CONCERNING TRUNCATED HYPERGEOMETRIC SERIES.
- 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