Computing zeta functions of nondegenerate hypersurfaces with few monomials-Reference-Cited by-同舟云学术

Computing zeta functions of nondegenerate hypersurfaces with few monomials

Published:2013 Issue: Volume:16 Page:9-44
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

Sperber Steven,Voight John

Abstract

AbstractUsing the cohomology theory of Dwork, as developed by Adolphson and Sperber, we exhibit a deterministic algorithm to compute the zeta function of a nondegenerate hypersurface defined over a finite field. This algorithm is particularly well suited to work with polynomials in small characteristic that have few monomials (relative to their dimension). Our method covers toric, affine, and projective hypersurfaces, and also can be used to compute the L-function of an exponential sum.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

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