MATH Seminar
| Title: Eta-quotients and theta functions |
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| Seminar: Algebra and number theory |
| Speaker: Robert Lemke Oliver of Emory University |
| Contact: Ken Ono, ono@mathcs.emory.edu |
| Date: 2010-11-09 at 3:00PM |
| Venue: MSC E408 |
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| Abstract: The Jacobi Triple Product Identity gives a closed form for many infinite product generating functions that arise naturally in combinatorics and number theory. Of particular interest is its application to Dedekind's eta-function $\eta(z)$, defined via an infinite product, giving it as a certain kind of infinite sum known as a theta function. Using the theory of modular forms, we classify all eta-quotients that are theta functions. |
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