Nic Fellini (Queen's University)
Date
Monday January 22, 20243:00 pm - 4:00 pm
Location
Jeffery Hall, Room 319Event Category
Number Theory Seminar
Monday, January 22nd, 2024
Time: 3:00 p.m. Place: Jeffery Hall, Room 319
Speaker: Nic Fellini (Queen's University)
Title: Reflections on the congruence relations of Ankeny, Artin, and Chowla
Abstract: In 1951, Ankeny, Artin, and Chowla released a short note containing four congruence relations involving the arithmetic invariants of \Q(\sqrt{d}) for d\equiv 1 \bmod{4}. The following year, Ankeny, Artin, and Chowla proved three of the four congruences from their earlier note using p-adic methods. Using p-adic L-functions we will give a cohesive explanation of these congruences as well as a new proof of the originally omitted congruence.