Chowla's theorem over function fields

被引：1
作者：
Hamahata, Yoshinori [1 ]
机构：
[1] Okayama Univ Sci, Dept Appl Math, Ridai Cho 1-1, Okayama 7000005, Japan
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 06期
关键词：
Chowla's theorem; L-function; function fields;
D O I：
10.1142/S1793042118501026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sarvadaman Chowla proved that if p is an odd prime, then cot(2 pi j/p) (j = 1, . . . , (p - 1)/2) are linearly independent over the field of rational numbers. We establish an analog of this result over function fields. As an application, we prove an analog of the Baker-Birch-Wirsing theorem about the non-vanishing of Dirichlet series with periodic coefficients at s = 1 in the function field setup with a parity condition.
引用
收藏
页码：1689 / 1698
页数：10
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