Algebraic properties of the values of newform Dedekind sums

被引：2

作者：

Majure, Mitchell ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52240 USA

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 250卷

关键词：

Dedekind sum; Hecke operators; Lattice;

D O I：

10.1016/j.jnt.2023.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the image of a generalized Dedekind sum relating to the weight zero Eisenstein series E chi 1,chi 2. We show that the image is a lattice of full rank inside a number field determined by the characters chi 1 and chi 2. We also give a generalization of Knopp's identity for the classical Dedekind sum.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：35 / 48

页数：14

共 14 条

[1]

[Anonymous], 1997, Topics in Classical Automorphic Forms, DOI DOI 10.1090/GSM/017

[2]

Diamond F., 2005, GRADUATE TEXTS MATH, V228

[3] An average of generalized Dedekind sums [J].