Nic Fellini (Queen鈥檚 University)

Date

Tuesday September 27, 2022
2:00 pm - 3:00 pm

Location

Jeffery Hall, Room 422

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.