Nic Fellini (Queen's University)


Monday January 22, 2024
3:00 pm - 4:00 pm


Jeffery Hall, Room 319

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.