Thursday, April 29
Milner 216, 1:00 PM
Title: The arithmetic of p-regular partition functions
Abstract: A partition of a positive integer is said to be p-regular if none of its summands is divisible by p. In this talk we will focus on the arithmetic of p-regular partition functions, in particular divisibility properties and Ramanujan-type congruences. We will also discuss connections between these functions and other number theoretic objects, including elliptic curves and K3 surfaces.