Eichler Integrals and the zeros of Jacobi Forms

Combinatorics/Partitions Seminar

Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, Stephanie Geyer, George Andrews.

Speaker: Daniel Schultz, PSU

Abstract: I this talk a will discuss a difficult algebraic integral that arose in connection with the zeros of a theta function. By relating it to the work of Echiler and Zagier on Jacobi forms, we may recognize such an integral as an Eichler integral on a congruence subgroup of the modular group. We may then evaluate the integral in terms of hypergeometric functions and obtain formulas analogous to those of Duke and Imamoglu for the zeros of the Weierstrass p-function. If time permits, I will also relate this to a curious claim of Ramanujan on the top of page 209 of the Narosa edition of his lost notebooks.

Room Reservation Information

Room Number: 106 McAllister

Date: 09/22/2015

Time: 11:15am - 12:05pm