Apéry numbers, Jacobi sums, and special values of generalized \(p\)-adic hypergeometric functions

DOI10.1016/0022-314X(92)90123-7zbMath0759.11042MaRDI QIDQ1196911

Paul Thomas Young

Publication date: 16 January 1993

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

zbMATH Keywords

congruencesspecial valueszeta-functionJacobi sumsApéry numbers\(p\)-adic gamma function\(p\)-adic evaluationsunit roots of Hecke polynomials

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Generalized hypergeometric series, ({}_pF_q) (33C20) Zeta functions and (L)-functions (11S40) (p)-adic differential equations (12H25)

Related Items

Jacobi sum, differential equation modulo prime and logarithmic growth, An Euler product transform applied to \(q\)-series, Special values of symmetric hypergeometric functions

Cites Work

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