Generalized Rademacher functions and some congruence properties

被引：0
|
作者：
Nakamura, H [1 ]
机构：
[1] Okayama Univ, Fac Sci, Dept Math, Okayama 7008530, Japan
来源：
GALOIS THEORY AND MODULAR FORMS | 2004年 / 11卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 1, we introduce the classical Dedekind sum and the Rademacher function. Then, in 2, certain generalized Rademacher functions are introduced as the Eichler-Shimura type period integrals of Eisenstein series. In 3, we present a version of continued fraction algorithm which computes efficiently the generalized Rademacher functions. In 4, we show a congruence formula connecting values of the generalized Rademacher functions of weight 2 and weight k > 2. This formula will be applied in a forthcoming paper [N4].
引用
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页码：375 / 393
页数：19
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