Speaker: Ezra Waxman, Charles University in Prague.
Date and Time: Tuesday, July 9th, 9:30 - 11:30 AM
Venue: Mathematics Hall- Mathematics Department-College of Science-Salahaddin University-Erbil
The title of the talks “Angles of Gaussian Primes”.
Abstract: 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 (infinite) Hecke characters and their associated L-functions. In this talk, I will present several fine-scale results concerning the angular distribution of Gaussian primes, and also discuss certain statistical properties associated with these Hecke L-functions.