The University of Arizona

Modular Forms and Ramanujan Congruences

Modular Forms and Ramanujan Congruences

Series: Graduate Student Colloquium
Location: ENR 2 S395
Presenter: Anthony Kling, Department of Mathematics, University of Arizona

The Ramanujan congruences, first observed and proved by Ramanujan, are three elegant congruences related to the partition counting function. Moreover, Ramanujan conjectured these were the only such congruences. We will see how modular forms can be used to prove Ramanujan's conjecture. In particular, the coefficients of certain modular forms are intimately connected with the partition counting function. We will develop all necessary machinery, including the basics of modular form

(Bagels and refreshments will be served.)

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