论文标题

(模拟)模块化功能和Ramanujan的傅立叶系数的划分特性

Divisibility Properties of the Fourier Coefficients of (Mock) Modular Functions and Ramanujan

论文作者

Kang, Soon-Yi

论文摘要

我们调查了由Ramanujan启发的模块化函数的傅立叶系数的划分性能。然后,使用广义Hecke操作员在模块化函数的傅立叶函数和已知的划分性方面的最新结果,我们建立了某些模块化函数的傅立叶系数的一致关系以及各种努力的模块化功能。

We survey divisibility properties of the Fourier coefficients of modular functions inspired by Ramanujan. Then using recent results of the generalized Hecke operator on harmonic Maass functions and known divisibility of Fourier coefficients of modular functions, we establish congruence relations of the Fourier coefficients of certain modular functions and mock modular functions of various levles.

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