Hypergeometric functions and relations to Dwork hypersurfaces

DOI10.1142/S1793042117500269zbMath1419.11135arXiv1510.07661OpenAlexW2963592223MaRDI QIDQ2965776

Heidi Goodson

Publication date: 3 March 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07661

zbMATH Keywords

hypergeometric functionsfinite fieldspoint counts

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Generalized hypergeometric series, ({}_pF_q) (33C20) Varieties over finite and local fields (11G25)

Related Items (10)

Summation identities and transformations for hypergeometric series ⋮ A complete hypergeometric point count formula for Dwork hypersurfaces ⋮ Hypergeometric decomposition of symmetric \(K3\) quartic pencils ⋮ Appell series over finite fields and modular forms ⋮ Hypergeometric properties of genus 3 generalized Legendre curves ⋮ The number of \(\mathbb F_p\)-points on Dwork hypersurfaces and hypergeometric functions ⋮ Appell series over finite fields and Gaussian hypergeometric series ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves ⋮ Dwork hypersurfaces of degree six and Greene's hypergeometric function

Cites Work

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