Sato-Tate distribution of \(p\)-adic hypergeometric functions

DOI10.1007/s40993-022-00414-wOpenAlexW4310481424MaRDI QIDQ2679112

Neelam Saikia, Sudhir Pujahari

Publication date: 19 January 2023

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

Full work available at URL: https://arxiv.org/abs/2207.10375

zbMATH Keywords

trace of Frobenius\(p\)-adic hypergeometric functionsSato-Tate distributions

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

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• Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
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• Exponential Sums and Differential Equations. (AM-124)
• Values of Gaussian hypergeometric series
• Combinatorics of traces of Hecke operators
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies

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