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Dwork hypersurfaces of degree six and Greene's hypergeometric function

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Publication:2102438
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DOI10.32917/h2020097OpenAlexW4309316249MaRDI QIDQ2102438

Satoshi Kumabe

Publication date: 28 November 2022

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13079


zbMATH Keywords

hypergeometric functionsDwork hypersurfacesthe number of rational points


Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24)




Cites Work

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  • Counting points over finite fields and hypergeometric functions
  • The number of \(\mathbb F_p\)-points on Dwork hypersurfaces and hypergeometric functions
  • Transformations of well-poised hypergeometric functions over finite fields
  • Jacobi's formula for Hesse cubic curves
  • A complete hypergeometric point count formula for Dwork hypersurfaces
  • Handbook of Finite Fields
  • On a supercongruence conjecture of Rodriguez-Villegas
  • Hypergeometric functions and relations to Dwork hypersurfaces
  • Monomial deformations of certain hypersurfaces and two hypergeometric functions
  • Hypergeometric Functions Over Finite Fields
  • Exponential Sums and Differential Equations. (AM-124)
  • Numbers of solutions of equations in finite fields
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