Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series

Kırmacı, Uğur (2017) Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series. Asian Research Journal of Mathematics, 2 (2). pp. 1-10. ISSN 2456477X

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Abstract

We present some cusp forms on the full modular group ⌈1, using the properties of eigenfunctions, nonanalytic Poincare series and Hecke operators Tn. Further, the Fourier coefficients of cusp forms Tnf on ⌈1 are given in terms of Dirichlet series associated to the Fourier coefficients of cusp form f of weight k.

Item Type: Article
Subjects: OA STM Library > Mathematical Science
Depositing User: Unnamed user with email support@oastmlibrary.com
Date Deposited: 11 May 2023 12:32
Last Modified: 04 Jul 2024 12:44
URI: http://geographical.openscholararchive.com/id/eprint/794

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