Abhishek Bharadwaj (Queen's University)
Date
Tuesday October 31, 20234:00 pm - 5:00 pm
Location
Jeffery Hall, Room 319Event Category
Number Theory Seminar
Tuesday, October 31st, 2023
Time: 4:00 p.m. Place: Jeffery Hall, Room 319
Speaker: Abhishek Bharadwaj (Queen's University)
Title: Algebraic Numbers with Integral Power Traces
Abstract: In this paper, the following result is proved : To determine if an algebraic number \alpha of degree n is an algebraic integer, it suffices to show that the trace of the powers \alpha^i is an integer for all positive i up to n + n log2n. We shall describe the key ingredients of the proof.