What is.. the Dedekind zeta function?

This page hosts information on Anna Anna Posingies's talk "What is.. the Dedekind zeta function?" at the "What is ... ?" seminar series.

Abstract

Euler's zeta function in which the sum is taken over all natural numbers is well known. There is a corresponding function called Dedekind zeta function for number fields where the sum is taken over all ideals of the ring of integers.

We will introduce the Dedekind zeta function with a detailed definition of all number theoretical objects that occur and illustrate these objects with examples.

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