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The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications |
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| Authors: | A Ahmet Aygunes Yilmaz Simsek |
| Institution: | Department of Mathematics, Faculty of Science University of Akdeniz, TR-07058 Antalya, Turkey |
| Abstract: | 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. |
| Keywords: | Generalized Dedekind eta functions Eisenstein series Theta functions Hecke operators Weierstrass type functions Weber functions Bernoulli numbers Riemann zeta function |
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