On Jacobi sums, multinomial coefficients, and \(p\)-adic hypergeometric functions

DOI10.1006/jnth.1995.1060zbMath0874.11079OpenAlexW1998730326MaRDI QIDQ1892576

Paul Thomas Young

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1995.1060

zbMATH Keywords

multinomial coefficients\(p\)-adic hypergeometric functionsJacobi sums over finite fields

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other character sums and Gauss sums (11T24) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (4)

Jacobi sum, differential equation modulo prime and logarithmic growth ⋮ An Euler product transform applied to \(q\)-series ⋮ Gauss sums and multinomial coefficients ⋮ An explicit version of a theorem of Stickelberger

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