Counting points over finite fields and hypergeometric functions
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Publication:372734
DOI10.7169/FACM/2013.49.1.9zbMATH Open1295.11074arXiv1201.3335OpenAlexW2963851662MaRDI QIDQ372734
Author name not available (Why is that?)
Publication date: 21 October 2013
Published in: (Search for Journal in Brave)
Abstract: It is a well known result that the number of points over a finite field on the Legendre family of elliptic curves can be written in terms of a hypergeometric function modulo . In this paper, we extend this result, due to Igusa, to a family of monomial deformations of a diagonal hypersurface. We find explicit relationships between the number of points and generalized hypergeometric functions as well as their finite field analogues.
Full work available at URL: https://arxiv.org/abs/1201.3335
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