For more information about this meeting, contact Mary Anne Raymond.

Title: | Eta-quotients and theta functions |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Robert Lemke Oliver, University of Wisconsin-Madison |

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. |

### Room Reservation Information

Room Number: | MB216 |

Date: | 11 / 18 / 2010 |

Time: | 10:10am - 11:00am |