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A complete hypergeometric point count formula for Dwork hypersurfaces - MaRDI portal

A complete hypergeometric point count formula for Dwork hypersurfaces (Q2360744)

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Language	Label	Description	Also known as
English	A complete hypergeometric point count formula for Dwork hypersurfaces	scientific article

Statements

scholarly article

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A complete hypergeometric point count formula for Dwork hypersurfaces (English)

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Journal of Number Theory

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publication date

4 July 2017

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full work available at URL

https://arxiv.org/abs/1610.09754

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zbMATH Keywords

hypergeometric functions

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finite fields

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point counts

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MaRDI profile type

MaRDI publication profile

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A Gaussian hypergeometric series evaluation and Apéry number congruences

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Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions

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\(p\)-adic cycles

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Combinatorics of traces of Hecke operators

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

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Hypergeometric functions and relations to Dwork hypersurfaces

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Hypergeometric Functions Over Finite Fields

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CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT

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Exponential Sums and Differential Equations. (AM-124)

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An extension of the Apéry number supercongruence

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Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields

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Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves

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

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The Hasse-Witt matrix of an algebraic curve

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On a supercongruence conjecture of Rodriguez-Villegas

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Transformations of well-poised hypergeometric functions over finite fields

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The trace of Frobenius of elliptic curves and the \(p\)-adic gamma function

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Monomial deformations of certain hypersurfaces and two hypergeometric functions

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Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs

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

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Counting points over finite fields and hypergeometric functions

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HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES

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Identifiers

zbMATH Open document ID

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10.1016/j.jnt.2017.03.018

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2360744

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