Hecke Characters and Angles of Gaussian Primes

Datum

24.10.2019

Zeit

13:30 - 14:30

Sprecher

Ezra Waxman

Zugehörigkeit

TU Dresden, Institut für Algebra

Serie

TUD Mathematik Algebra, Geometrie und Kombinatorik

Sprache

en

Hauptthema

Mathematik

Host

Prof. Dr. A. Fehm

Beschreibung

A Gaussian prime is a prime element in the ring of Gaussian integers Z[i]. As the Gaussian integers lie on the plane, interesting questions about their geometric properties can be asked which have no classical analogue among the ordinary primes. Hecke proved that the Gaussian primes are equidistributed across sectors of the complex plane by making use of Hecke characters and their associated L-functions. In this talk I will present a refined conjecture for the variance of Gaussian primes across sectors, and introduce a function field analogue to the question of angular distribution across sectors.

Links

• Seminar Algebra, Geometrie und Kombinatorik

Letztmalig verändert: 17.10.2019, 16:16:30