Abhishek Bharadwaj (Queen鈥檚 University)

Date

Tuesday October 4, 2022
2:00 pm - 3:00 pm

Location

Jeffery Hall, Room 422

Number Theory Seminar

Tuesday, October 4th, 2022

Time: 2:00 p.m.  Place: Jeffery Hall, Room 422

Speaker: Abhishek Bharadwaj (Queen鈥檚 University)

Title: Sufficient conditions for classifying algebraic integers

Abstract: A result of Corvaja and Zannier states that given an algebraic number $\alpha$, if $\Tr_{Q(\alpha)/Q}\alpha^n$ is a non-zero integer for infinitely many natural numbers $n$, then $\alpha$ is an algebraic integer. We extend this result to generalized power sums and provide some applications. This is a joint work with Veekesh Kumar, Aparmeyo Pal and Ravindranathan Thangadurai.