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

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...

Using the Logistic Function to Illustrate Periodic Orbits as Recurrent Formation

Recurrence as behaviour in the dynamical system is also a state which happens as a result of an outcome of a point which does return to its initial state. But in dynamical system the most simple and easy way to study reg...

Proportiones Perfectus Law and the Physics of the Golden Section

The proportiones perfectus law is introduced. Let σ_x^y=(x+√(x^2+4y))/2 . By definition, in the spectrum 1≤y≤x, x≥1, σ_x^y is a proportione perfectus. With σ_x^y so defined, for an arbitrary positive integer h_1 it is sh...

Dynamics Response of Beam on Elastic Foundation with Axial Force to Partially Distributed Moving Loads

The dynamics response of Beam on elastic foundation with axial force to partially distributed moving loads was examined. The fourth order partial differential equation which is the governing equation was first reduced...

On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application

The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Szaz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated func...

Download PDF file
  • EP ID EP338368
  • DOI 10.9734/ARJOM/2017/31152
  • Views 72
  • 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