M. Ram Murty (Queen's University)

Date

Tuesday November 22, 2022
2:00 pm - 3:00 pm

Location

Jeffery Hall, Room 422

Number Theory Seminar

Tuesday, November 22nd, 2022

Time: 2:00 p.m.  Place: Jeffery Hall, Room 422

Speaker: M. Ram Murty (Queen's University)

Title: FERMAT QUOTIENTS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS

Abstract: A famous conjecture of Ankeny, Artin and Chowla relates the class number of a real quadatic field with its fundamental unit. We will show that there are further connections with Fermat quotients and Wieferich style congruences. This is joint work in progress with Nic Fellini.