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Math & Stats Number Theory Seminar
Thursday, September 19th, 2024

Time: 4:30 p.m.  Place: Jeffery Hall, Room 202

Speaker: Nic Fellini (¾ÅÐãÖ±²¥)

Title: Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields

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 = 1 mod 4. They proved three of these relations the following year, in a paper published in the Annals of Mathematics. In this talk, I will discuss how the work of Ankeny, Artin, and Chowla generalizes to any real quadratic field, as well as present some recent results that connect their work to Iwasawa theory.