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
收藏
页码：249 / 304
页数：56
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