Abhishek Bharadwaj (Queen's University)


Tuesday October 31, 2023
4:00 pm - 5:00 pm


Jeffery Hall, Room 319

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.