题目：Partition Functions and Prime Detection

报告人：刘旭金 教授（香港大学）

地点：致远楼103室

时间：2025年7月15日 9:50–10:30

Abstract: A Diophantine set is a collection of tuples that are positive integer solutions of a Diophantine equation. The set of primes is known to be Diophantine. A question of Schneider asks whether the set of primes is partition-theoretic, i.e., whether it consists of solutions to equations in partition functions. In this talk, we will give an exposition of the work of Craig, van Ittersum, and Ono, which answers this question affirmatively, as well as recent subsequent work by Kane et al.

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