Journal of Advances in Mathematics and Computer Science

Some Remarks on Cusp Forms on the Full Modular Group Γ1

Uğur S. Kırmacı *

Department of Mathematics, K. K. Education Faculty, Atatürk University, 25240 Erzurum, Turkey.

*Author to whom correspondence should be addressed.

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Abstract

We present some cusp forms and their Fourier coefficients on the full modular group Γ₁ , using the adjoint linear maps, nonanalytic Poincare series and Hecke operators.

Keywords: Cusp forms, nonanalytic Poincare series, Dirichlet series of Rankin type, Hecke operators.

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