Eta-quotients and theta functions

被引：21
|
作者：
Oliver, Robert J. Lemke [1 ]
机构：
[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
来源：
ADVANCES IN MATHEMATICS | 2013年 / 241卷
关键词：
Modular forms; q-series; Eta-quotients; Theta functions; MODULAR-FORMS; POSITIVE DIMENSION; COEFFICIENTS;
D O I：
10.1016/j.aim.2013.03.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Jacobi Triple Product Identity gives a closed form for many infinite product generating functions that arise naturally in combinatorics and number theory. Of particular interest is its application to Dedekind's eta-function eta (z), defined via an infinite product, giving it as a certain kind of infinite sum known as a theta function. Using the theory of modular forms, we classify all eta-quotients that are theta functions. (C) 2013 Elsevier Inc. All rights reserved.
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页码：1 / 17
页数：17
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