On average theta functions of certain quadratic forms as sums of Eisenstein series

被引：0
作者：
Eum, Ick Sun [1 ]
机构：
[1] Dongguk Univ, Dept Math Educ, WISE Campus, Gyeongju, South Korea
来源：
OPEN MATHEMATICS | 2023年 / 21卷 / 01期
关键词：
average theta function; Eisenstein series; Atkin-Lehner involution;
D O I：
10.1515/math-2023-0126
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Q be an integral positive definite quadratic form of level N in 2k variables. Further, we assume that (-1)N-k is a fundamental discriminant. We express the average theta function of Q as an explicit sum of Eisenstein series, which are Hecke eigenforms by applying Atkin-Lehner involution.
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页数：12
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