论文标题

特殊价值猜想与Zeta函数功能方程的兼容性

Compatibility of Special value conjectures with the functional equation of Zeta functions

论文作者

Flach, Matthias, Morin, Baptiste

论文摘要

我们证明,我们在上一篇文章[8]中提出的适当的规则算术方案X的Zeta函数的特殊值猜想与Zeta函数的功能方程兼容,规定我们不能在LOC中计算因子C(x,n)。引用在[9]中提出了简单的显式形式。

We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].

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