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Dimensions of Modular Forms and Cusp Forms over Modular Group

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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    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 09:07
    Last Modified: 12 Nov 2014 10:24
    URI: http://eprints.iiserkol.ac.in/id/eprint/68

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