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Arithmetic properties of modular functions

Robins, Sharon (2018) Arithmetic properties of modular functions. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    The main idea of this thesis to present the proof of the theorem j(Ok) is an algebraic integer. In the first chapter, we discuss elliptic functions and introduce a key example called Weierstrass ℘-function. In the second chapter, we will define what is j-invariant and study its properties. In the last chapter, we will go through the general definition of modular function and see it’s arithmetic properties. Finally, we introduce modular equation and in fact, we will see it is the polynomial required to prove j(Ok) is an algebraic integer.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Swarnendu Datta
    Uncontrolled Keywords: Elliptic Functions; Modular Functions
    Subjects: Q Science > QA Mathematics
    Divisions: Department of Mathematics and Statistics
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 01 Jan 2019 14:26
    Last Modified: 01 Jan 2019 14:27
    URI: http://eprints.iiserkol.ac.in/id/eprint/809

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