Special values of <i>L</i>-functions of one-motives over function fields

Abstract The purpose of this paper is to give a formula for the leading coefficient at s = 1 {s=1} L -function one-motives over function fields in terms Weil-étale cohomology, generalizing version Birch and Swinnerton-Dyer conjecture authors’ previous work. As consequence we express Tamagawa number torus introduced by Ono–Oesterlé reprove their formula.