Angles of Gaussian primes
Seminar
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
