Distribution of values of fourier coefficients for modular forms of weight 1

被引：0
作者：
Fomenko O.M. [1 ]
机构：
来源：
Journal of Mathematical Sciences | 1998年 / 89卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Fourier; Error Term; Natural Number; Modular Form; Asymptotic Formula;
D O I：
10.1007/BF02358541
中图分类号：
学科分类号：
摘要：
For modular forms of weight 1, the distribution of values of their Fourier coefficients over polynomial sequences of natural numbers is considered. A new proof of Bernays' theorem is given. It is proved that the error term in the well-known Rankin-Selberg asymptotic formula can be improved for cusp forms associated with binary theta series. Bibliography: 52 titles. © 1998 Plenum Publishing Corporation.
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页码：1050 / 1071
页数：21
相关论文
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