Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series
Asian Research Journal of Mathematics · pp. 1–10 · Published 19 Jan 2017
10.9734/ARJOM/2017/31152Abstract
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.
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