Values of zeta functions at s=1/2
Number Theory
2015-06-29 v2 Algebraic Geometry
Abstract
We study the behaviour near s=1/2 of zeta functions of varieties over finite fields F_q with q a square. The main result is an Euler-characteristic formula for the square of the special value at s=1/2. The Euler-characteristic is constructed from the Weil-etale cohomology of a certain supersingular elliptic curve.
Cite
@article{arxiv.math/0502507,
title = {Values of zeta functions at s=1/2},
author = {Niranjan Ramachandran},
journal= {arXiv preprint arXiv:math/0502507},
year = {2015}
}
Comments
Submitted version. IMRN (to appear)