论文标题
函数字段的一项函数的特殊值
Special values of L-functions of one-motives over function fields
论文作者
论文摘要
本文的目的是根据Weil-étale的共同体，为单位功能领域的$ S = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $ s = 1 $，从而在作者的先前工作中推广了birch and swinnerton-dyer猜想的Weil-étale版本。结果，我们表达了由Ono-Oesterlé引入的tamagawa数量，以Weil-étale的共同体学，并谴责他们的Tamagawa数字公式。
The purpose of this paper is to give a formula for the leading coefficient at $s=1$ of the $L$-function of one-motives over function fields in terms of Weil-étale cohomology, generalizing the Weil-étale version of the Birch and Swinnerton-Dyer conjecture in the authors' previous work. As a consequence we express the Tamagawa number of a torus introduced by Ono-Oesterlé in terms of Weil-étale cohomology, and reprove their Tamagawa number formula.
