Evaluating convolution sums of the divisor function by quasimodular forms

被引：45
|
作者：
Royer, Emmanuel [1 ]
机构：
[1] Univ Blaise Pascal, Math Lab, Campus Univ Cezeaux, F-63177 Aubiere, France
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2007年 / 3卷 / 02期
关键词：
quasimodular forms; divisor functions; arithmetical identities;
D O I：
10.1142/S1793042107000924
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a systematic method to compute arithmetic sums including some previously computed by Alaca, Besge, Cheng, Glaisher, Huard, Lahiri, Lemire, Melfi, Ou, Ramanujan, Spearman and Williams. Our method is based on quasimodular forms. This extension of modular forms has been constructed by Kaneko and Zagier.
引用
收藏
页码：231 / 261
页数：31
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