Sums of two squares in function fields
Seminar
Speaker
Ofir Gorodetsky (Tel Aviv University)
Date
21/10/2015 - 12:00 - 11:00Add to Calendar
2015-10-21 11:00:00
2015-10-21 12:00:00
Sums of two squares in function fields
Fermat was the first to characterize which integer numbers are sums of two perfect squares. A natural question of analytical number theory is: How many integers up to x are of that form? Landau settled this question using Dirichlet series and complex analysis.
We'll discuss Landau's proof and present recent results on the corresponding problem over the rational function field over a finite field, which requires new ideas.
Third floor seminar room
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room
Abstract
Fermat was the first to characterize which integer numbers are sums of two perfect squares. A natural question of analytical number theory is: How many integers up to x are of that form? Landau settled this question using Dirichlet series and complex analysis.We'll discuss Landau's proof and present recent results on the corresponding problem over the rational function field over a finite field, which requires new ideas.
Last Updated Date : 12/10/2015
