Citation
M. Siddig, Abubaker Ahmed and Zainuddin, Hishamuddin
(2009)
Computation of Maass cusp forms on modular group in Mathematica.
International Journal of Pure and Applied Mathematics, 54 (2).
pp. 279-295.
ISSN 1311-8080; ESSN: 1314-3395
Abstract
Maass cusp forms of the Fuchsian group are eigenfunctions of the hyperbolic Laplacian representing bound states. It is known that the Maass cusp forms can only be solved numerically. The aim of this paper is to ex-tend Hejhal's algorithm to compute Maass cusp form on the modular group SL(2, R)\H using Mathematica with the intent of exploiting its graphical and symbolic capabilities. We compute the eigenvalues of the Maass cusp forms em-ploying a graphical scheme to locate the approximate value of the eigenvalue. We also plotted Maass cusp forms corresponding to selected eigenvalues.
Download File
Official URL or Download Paper: http://www.ijpam.eu/contents/2009-54-2/index.html
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Academic Publications |
| Keywords: | Maass cusp forms; Mathematica; Modular group |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 17 Jun 2015 07:17 |
| Last Modified: | 22 Oct 2015 06:08 |
| URI: | http://psasir.upm.edu.my/id/eprint/13737 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |