You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics.
Speaker: Tomos Parry (Bilkent)
” Voronoi’s summation formula”
Abstract: The divisor function
d(n):=# divisors of n
is one of the most studied sequences in number theory. We will give a proof of Voronoi’s summation formula, which writes the count of d(n) in terms of another count (the dual count)
∑_(n≤x)▒〖d(n)〗≈ main term +x^(1/4) ∑_n▒〖d(n)/n^(3/4) f(n,x)〗
for some hopefully tractable f(x,n). This is good because the dual sum may be of shorter length than the original sum.
Date: Friday, March 7, 2025
Time: 19:00
Place: SB-Z11