Certain transformations and values of $p$-adic hypergeometric functions (Q2093684)

scientific article; zbMATH DE number 7608406

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English	Certain transformations and values of $p$-adic hypergeometric functions	scientific article; zbMATH DE number 7608406

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scholarly article

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title

Certain transformations and values of $p$-adic hypergeometric functions (English)

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Research in Number Theory

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publication date

27 October 2022

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full work available at URL

https://arxiv.org/abs/2204.10311

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zbMATH Keywords

character sum

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hypergeometric series

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$p$-adic gamma function

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MaRDI profile type

Publication

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cites work

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Certain transformations for hypergeometric series in the p-adic setting

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$p$-adic gamma function and the trace of Frobenius of elliptic curves

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Summation identities and special values of hypergeometric series in the $p$-adic setting

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Certain character sums and hypergeometric series

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$p$-adic gamma function and the polynomials $x^d + ax + b$ and $x^d + ax^{d-1} + b$ over $\mathbb{F}_q$

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Q4382830

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Hypergeometric $\mathbf {{}_3{\it F}_2(1/4)}$ evaluations over finite fields and Hecke eigenforms

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Clausen's theorem and hypergeometric functions over finite fields

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Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms

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Hypergeometric Functions Over Finite Fields

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Q4748270

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Q3880931

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Trace formulas for Hecke operators, Gaussian hypergeometric functions, and the modularity of a threefold

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Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves

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EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING

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The trace of Frobenius of elliptic curves and the $p$-adic gamma function

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Transformations of well-poised hypergeometric functions over finite fields

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On a supercongruence conjecture of Rodriguez-Villegas

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Supercongruences for truncated _{𝑛+1}𝐹_{𝑛} hypergeometric series with applications to certain weight three newforms

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A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform

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Values of Gaussian hypergeometric series

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Zeros of $p$-adic hypergeometric functions, $p$-adic analogues of Kummer's and Pfaff's identities

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Counting points over finite fields and hypergeometric functions

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Q5508372

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HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40993-022-00404-Y

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Mathematics(1 entry)

mardi Certain transformations and values of $p$-adic hypergeometric functions

Certain transformations and values of \(p\)-adic hypergeometric functions (Q2093684)

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Mathematics(1 entry)