Artin L-functions of diagonal hypersurfaces and generalized hypergeometric functions over finite fields
Year: 2024
Type: article
Abstract: We compute the Artin L-function of a diagonal hypersurface Dλ over a finite field associated to a character of a finite group acting on Dλ, and under some condition, express it in terms of hypergeometric functions and Jacobi sums over the finite field. As an application, we derive certain relations among hypergeometric functions over different finite fields from the Grothendieck-Lefschetz trace formula.
Source: Hiroshima Mathematical Journal
DOI: 10.32917/h2024001
Author: Akio Nakagawa
Institution: Kanazawa University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4226293335