Nic Fellini (Queen鈥檚 University)
Date
Tuesday September 27, 20222:00 pm - 3:00 pm
Location
Jeffery Hall, Room 422Event Category
Number Theory Seminar
Tuesday, September 27th, 2022
Time: 2:00 p.m. Place: Jeffery Hall, Room 422
Speaker: Nic Fellini (Queen鈥檚 University)
Title: Fermat quotients and the Ankeny-Artin-Chowla conjecture
Abstract: In 1952, Ankeny, Artin, and Chowla proved a congruence relation mod p relating the class number of the real quadratic field Q(鈭歱), the fundamental unit of Q(鈭歱), and some Bernoulli number. I will present joint work with Professor Murty where we generalize the results of Ankeny, Artin, and Chowla and will discuss some consequences of a conjecture related to their work.