A complete hypergeometric point count formula for Dwork hypersurfaces
type: Item
instance of: scholarly article
title: A complete hypergeometric point count formula for Dwork hypersurfaces
zbMATH Open document ID: 1418.11157
author: Heidi Goodson
published in: Journal of Number Theory
publication date: 2017-07-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1610.09754
Mathematics Subject Classification ID: 11T24
Mathematics Subject Classification ID: 11G25
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 6739166
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: finite fields
zbMATH Keywords: point counts
MaRDI profile type: Publication
OpenAlex ID: W2963489540
arXiv ID: 1610.09754
cites work: A Gaussian hypergeometric series evaluation and Apéry number congruences
cites work: Q3904698
cites work: Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
cites work: \(p\)-adic cycles
cites work: Combinatorics of traces of Hecke operators
cites work: Q4663129
cites work: Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
cites work: Hypergeometric functions and relations to Dwork hypersurfaces
cites work: Hypergeometric Functions Over Finite Fields
cites work: CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT
cites work: Q3999066
cites work: Exponential Sums and Differential Equations. (AM-124)
cites work: An extension of the Apéry number supercongruence
cites work: Q4748270
cites work: Q4695272
cites work: Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields
cites work: Q3995821
cites work: Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
cites work: Trace formulas for Hecke operators, Gaussian hypergeometric functions, and the modularity of a threefold
cites work: The Hasse-Witt matrix of an algebraic curve
cites work: On a supercongruence conjecture of Rodriguez-Villegas
cites work: Transformations of well-poised hypergeometric functions over finite fields
cites work: The trace of Frobenius of elliptic curves and the \(p\)-adic gamma function
cites work: Monomial deformations of certain hypersurfaces and two hypergeometric functions
cites work: Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
cites work: Supercongruences for truncated _{𝑛+1}𝐹_{𝑛} hypergeometric series with applications to certain weight three newforms
cites work: Counting points over finite fields and hypergeometric functions
cites work: HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES
DOI: 10.1016/J.JNT.2017.03.018
description: scientific article