Summation identities and transformations for hypergeometric series. II.

DOI10.7169/FACM/1812zbMath1495.11140OpenAlexW2988588764MaRDI QIDQ829343

Rupam Barman, Neelam Saikia

Publication date: 5 May 2021

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1573268431

zbMATH Keywords

Gauss sumsGaussian hypergeometric seriesJacobi sum\(p\)-adic gamma function\(p\)-adic hypergeometric seriescharacter of 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) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Hypergeometric functions (33C99)

Cites Work

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• \(p\)-adic gamma function and the trace of Frobenius of elliptic curves
• Gauss sums and the p-adic \(\Gamma\)-function
• Summation identities and transformations for hypergeometric series
• The trace of Frobenius of elliptic curves and the \(p\)-adic gamma function
• Summation identities and special values of hypergeometric series in the \(p\)-adic setting
• Hypergeometric type identities in the $p$-adic setting and modular forms
• EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series

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