On Weil’s explicit formula

被引：0
|
作者：
Xian-Jin Li
机构：
[1] Brigham Young University,Department of Mathematics
来源：
Science China Mathematics | 2015年 / 58卷
关键词：
global trace formula; nuclear locally convex space; Riemann hypothesis; 46A03; 11M26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A program of proving the Riemann hypothesis by using the Fourier analysis on global fields is given by Connes (1999). The difficulty for realizing the program lies in proving the validity of Connes’ global trace formula on an L2-space. In this paper, a new global trace formula is obtained on a Fréchet space which gives the Weil distribution Δ(h).
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页码：915 / 982
页数：67
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