Student Number Theory Seminar

Talk #1: Jack DeSerrano

"The density of integers n coprime to ⌊αn⌋"

We determine, for a real number α, the density of positive integers n such that gcd(n, ⌊αn⌋) = 1, drawing from a 1953 paper of G. L. Watson. For example, for irrational α, we show that this density is 6/π².

Talk #2: Owen Sharpe

"Waring's Problem on Function Fields of Characteristic Two"

We review the work of Gallardo and Heath-Brown on Waring's problem in the polynomial rings F_2[t] and F_4[t].

MC 5417