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

页码：1689 / 1698

页数：10

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