Talk page

Title:
Partitions into Polynomial Values

Speaker:
Ayla Gafni

Abstract:
In 1918, Hardy and Ramanujan published a seminal paper which included an asymptotic formula for the partition function. In their paper, they also state without proof an asymptotic equivalence for the number of partitions of a number into k-th powers. In this talk, I will present an asymptotic formula for the number of partitions into k-th powers using a relatively simple method, verifying the claim of Hardy and Ramanujan. We will then discuss extensions of this result to partitions into integer values of polynomials.

Link:
https://www.msri.org/workshops/800/schedules/21885

Workshop:
MSRI- Connections for Women: Analytic Number Theory