On central values of Rankin L-series over global function fields


Chih-Yun Chuang

10:30:00 - 11:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let k be an arbitrary global function field over a finite field F_q with odd characteristic. Pick a place of k called it infinity and let F be a quadratic extension of k which is inert or ramified at infinity. In this talk, we study elliptic curve E over F which have split multiplicative reduction at infinity with square-free conductor. We will give explicit formulas of the central values of L-function associated to E. We use "Drinfeld type automorphic forms" and Rankin's method. This extends a previous result of Fu-Tsun Wei and Jing Yu.