TY - JOUR
AU - Ramachandran, Niranjan
AB - We study the behaviour near s=1/2 of zeta functions of varieties over finite fields Fq 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-étale cohomology of a certain supersingular elliptic curve.
TI - Values of zeta functions at s=1/2
JF - International Mathematics Research Notices
DO - 10.1155/IMRN.2005.1519
DA - 2005-01-01
UR - https://www.deepdyve.com/lp/oxford-university-press/values-of-zeta-functions-at-s-1-2-UC9gUqy996
SP - 1519
EP - 1541
VL - 2005
IS - 25
DP - DeepDyve
ER -