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
Applying G-metric Space for Cantor's Intersection and Baire's Category Theorem
In this paper, Cantor's intersection theorem and Baire's category theorem are proven by using G-metric spaces.
Hypothesis Testing for Fractional Stochastic Partial Dierential Equations with Applications to Neurophysiology and Finance
The paper obtains explicit form of fine large deviation theorems for the log-likelihood ratio in testing fractional stochastic partial differential equation models using a finite number of Fourier coefficients of the sol...
Numerical Solutions for Solving the Modeling Differential Equations
In this paper, we will solve the Logistic and Riccati differential equations using VIM, shifted Chebyshev-spectral fourth kind methods and Hermite collocation method. Where we can from the numerical results we obtained t...
Convergence and Stability of Split-Step Milstein Schemes for Stochastic Dierential Equations
In this paper, the mean square convergence and stability of the split-step theta-Milstein schemes for stochastic differential equations are discussed. First, it is shown that these methods are mean square convergent with...
Problem Solving Framework for Mathematics Discipline
This paper identifies a 4-step framework that can be implemented in almost every mathematics lesson and training setting to move learners towards problem solving effectively. This framework which is built upon existing i...