Fourier coefficients of modular forms of half integral weight, periods of modular forms and the special values of zeta functions
Fourier coefficients of modular forms of half integral weight, periods of modular forms and the special values of zeta functions
复制标题
半积分权模形式的傅里叶系数、模形式的周期和zeta函数的特殊值
DOI：
--
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
H. Kojima
中科院分区：
文献类型：
--
作者：
H. Kojima
。本文的目的是研究半整重模形式的傅立叶系数与整重模形式的Zeta函数的特定值之间的关系。我们将推导出，在每个非平方正整数处，半整重模形式的傅立叶系数是通过与由半整重模形式的Shimura对应的像确定的模形式相关的Zeta函数的特定值来显式表示的。
. The purpose of this note is to investigate relations between Fourier coefficients of modular forms of half integral weight and the special values of zeta functions of modular forms of integral weight. We shall derive that Fourier coefficients of modular forms of half integral weight at every non-square positive integer is explicitly expressed by means of the special values of zeta functions associated with modular forms determined by the image of Shimura correspondence of modular forms of half integral weight.