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

Related Articles

A New Lifetime Model with a Bounded Support

In this paper, we introduce a new probability model with a bounded support which possesses an increasing and bathtub failure rate functions. Numerous properties such as the moments, moment generating function, mean devia...

Topologized Hamiltonian and Complete Graph

Topological graph theory deals with embedding the graphs in Surfaces, and the graphs considered as a topological spaces. The concept topology extended to the topologized graph by the S1 space and the boundary of every ve...

Predictive Validity of Mathematics Mock Examination Results of Senior and Junior High School Students’ Performance in WASSCE and BECE in Ghana

This study was designed to investigate the validity of Mathematics Mock results of students in WASSCE and BECE in Ghana. One hundred and sixty-four (164) students were selected by convenience sampling technique from 15 p...

Dynamic Response of Non-Uniform Elastic Structure Resting on Exponentially Decaying Vlasov Foundation under Repeated Rolling Concentrated Loads

In this paper, the motion of a non-uniform elastic structure resting on exponentially decaying Vlasov foundation and under repeated rolling concentrated loads moving with constant velocity is analyzed. The governing equa...

The Very Cost Effective Graph Folding of the Join of Two Graphs

In this paper we studied the very cost effective graph property for the join graph of two graphs. In general this is may or may not be a very cost effective graph. We obtained the conditions for the join graph of two gra...

Download PDF file
  • EP ID EP338368
  • DOI 10.9734/ARJOM/2017/31152
  • Views 79
  • Downloads 0

How To Cite

Uğur S. Kırmacı (2017). Cusp Forms Whose Fourier Coefficients Involve Dirichlet Series. Asian Research Journal of Mathematics, 2(2), 1-10. https://europub.co.uk/articles/-A-338368