Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 2
Abstract
We present some cusp forms on the full modular group , using the properties of eigenfunctions, nonanalytic Poincare series and Hecke operators T_n. Further, the Fourier coefficients of cusp forms on are given in terms of Dirichlet series associated to the Fourier coefficients of cusp form f of weight k.
Authors and Affiliations
Uğur S. Kırmacı
Keywords
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- EP ID EP338368
- DOI 10.9734/ARJOM/2017/31152
- Views 77
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Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series
We present some cusp forms on the full modular group , using the properties of eigenfunctions, nonanalytic Poincare series and Hecke operators T_n. Further, the Fourier coefficients of cusp forms on are given in ter...