The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications
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摘要
The aim of this paper is to study and discuss the action of the Hecke operators to not only the generalized the Weber-type functions, but also the kth derivative of the Weierstrass-type functions. Furthermore, relations related to the Weierstrass-type functions and Riemann zeta and theta function are found.
论文关键词：Generalized Dedekind eta functions,Eisenstein series,Theta functions,Hecke operators,Weierstrass type functions,Weber functions,Bernoulli numbers,Riemann zeta function
论文评审过程：Available online 27 March 2011.
论文官网地址：https://doi.org/10.1016/j.amc.2011.03.090
