ON SUMS INVOLVING PRODUCTS AND QUOTIENTS OF L-FUNCTIONS OVER FUNCTION FIELDS

被引：1

作者：

Thunder, Jeffrey Lin ^{[1
]}

机构：

[1] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2015年 / 53卷 / 02期

关键词：

L-functions; function fields;

D O I：

10.7169/facm/2015.53.2.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the sum of products or quotients of L-functions, where the sum is taken over all quadratic extensions of given genus over a fixed global function field. Our estimate for the sum of the quotient of two L-functions is analogous to a result of Schmidt where he estimates the sum of the quotient of two L-series, where the sum is over quadratic extensions of Q with absolute value of the discriminant less than a given bound.

引用

页码：249 / 304

页数：56

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