# Angles of Gaussian primes

Speaker
Zeev Rudnick, Tel-Aviv University
Date
29/04/2018 - 13:00 - 12:00Add to Calendar 2018-04-29 12:00:00 2018-04-29 13:00:00 Angles of Gaussian primes Fermat showed that every prime p = 1 mod 4 is a sum of two squares: \$p = a^2 + b^2\$, and hence such a prime gives rise to an angle whose tangent is the ratio \$b/a\$. Do these angles exhibit order or randomness? I will discuss the statistics of these angles and present a conjecture, motivated by a random matrix model and by function field considerations. Mathematics Colloquium Room 201, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Mathematics Colloquium Room 201, Building 216
Abstract

Fermat showed that every prime p = 1 mod 4 is a sum of two squares: \$p = a^2 + b^2\$, and hence such a prime gives rise to an angle whose tangent is the ratio \$b/a\$. Do these angles exhibit order or randomness? I will discuss the statistics of these angles and present a conjecture, motivated by a random matrix model and by function field considerations.

תאריך עדכון אחרון : 23/04/2018