On root numbers connected with special values of L-functions over F-q(T)

[摘要] In this paper we give a few explicit formulae for the dual coefficients and some of the root numbers appearing in the expression of L-functions over F-q(T) as s = 1. From these formulae we show that the set of root numbers includes all the basic Gauss sums defined by Thakur as a proper subset. We also prove some properties of the root numbers. Finally, we provide an example which strongly suggests that there is a close relation between root numbers and the general Gauss sums. (C) 1997 Academic Press.

[发布日期] 1997-02-01