Prime Ideal Theorem

Hikmet Burak Özcan

06/12/2019, Time: 13:30

Place: B256

Abstract: In this talk, firstly we will introduce the notion of number fields and we will mention the ring of integers for a given number field. Then, we will talk about the Prime Ideal Theorem, which is the number field generalization of the prime number theorem. It was proved by Edmund Landau in 1903. This theorem provides an asymptotic formula for the prime ideal counting function, which counts the number of prime ideals in the ring of integers of K with norm at most n.