arXiv Analytics

Sign in

arXiv:math/0502507 [math.NT]AbstractReferencesReviewsResources

Values of zeta functions at s=1/2

Niranjan Ramachandran

Published 2005-02-24, updated 2005-03-14Version 2

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.

Comments: Submitted version. IMRN (to appear)
Categories: math.NT, math.AG
Related articles: Most relevant | Search more
arXiv:1407.1813 [math.NT] (Published 2014-07-07, updated 2014-07-10)
Zeta functions, Grothendieck groups, and the Witt ring
arXiv:math/0210202 [math.NT] (Published 2002-10-14, updated 2002-10-30)
Number of points of function fields over finite fields
arXiv:1110.4693 [math.NT] (Published 2011-10-21)
On the distribution of the number of points on a family of curves over finite fields

Links

Toolbox