M. Ram Murty (Queen's University)
Date
Tuesday November 22, 20222:00 pm - 3:00 pm
Location
Jeffery Hall, Room 422Event Category
Number Theory Seminar
Tuesday, November 22nd, 2022
Time: 2:00 p.m. Place: Jeffery Hall, Room 422
Speaker: M. Ram Murty (¾ÅÐãÖ±²¥)
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.