Kumar, Amit (2013) Dimensions of Modular Forms and Cusp Forms over Modular Group. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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PDF (MS Dissertation of Amit Kumar (08MS40))
Amit_Kumar-08MS40-MS_thesis.pdf - Submitted Version Restricted to Repository staff only Download (425kB) |
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Abstract
The theory of modular forms was developed by Hecke and others while attempting to prove Ramanujan's conjectures, a collection of three conjectures on the τ-function. The space of modular forms over SL2(Z) and its congruence subgroups form a C vector space. This thesis is about the study of the dimension(s) of these vector spaces over SL2(Z) and its congruence subgroups.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Dr. Saugata Bandyopadhyay |
| Uncontrolled Keywords: | Modular Forms; Cusp Forms; Modular Group; Hecke; Ramanujan's Conjectures; |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 10 May 2013 03:37 |
| Last Modified: | 12 Nov 2014 04:54 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/68 |
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