On the mod \(p^2\) determination of \(\binom{(p-1)/2}{(p-1)/4}\)

DOI10.1016/0022-314X(86)90102-2zbMath0596.10003MaRDI QIDQ1078220

Sarvadaman Chowla, Ronald J. Evans, Bernard M. Dwork

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Gross-Koblitz formulacoefficientcongruence for binomialDiamond formula

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07)

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Cites Work

• p-Adic Gamma Functions and Dwork Cohomology
• On $p$ - adic differential equations IV generalized hypergeometric functions as $p$ - adic analytic functions in one variable
• The p-Adic Log Gamma Function and p-Adic Euler Constants
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