Department of Mathematics and Statistics

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Department of Mathematics and Statistics
Department of Mathematics and Statistics

Number Theory Seminar


Wednesday, March 21st, 2018

Time: 2:15 p.m.  Place: Jeffery Hall 319

Speaker: François Séguin (Queen's University)

Title: Frequency of primes dividing n and $\Phi_n$.

Abstract: In a previous talk, we have seen that at most one prime Pn, can divide both an integer n and the nth cyclotomic polynomial evaluated at some integer a. During this talk, we will use methods in Dirichlet series to investigate how often Pn actually divides the nth cyclotomic polynomial $\Phi_n$.