You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Tomos Parry (Bilkent)<\/p>\n
\u201dVoronoi\u2019s summation formula\u201d<\/p>\n
Abstract: The divisor function<\/p>\n
d(n):=# divisors of n<\/p>\n
is one of the most studied sequences in number theory. We will give a proof of Voronoi\u2019s summation formula, which writes the count of d(n) in terms of another count (the dual count)<\/p>\n
\u2211_(n\u2264x)\u2592\u3016d(n)\u3017\u2248 main term +x^(1\/4) \u2211_n\u2592\u3016d(n)\/n^(3\/4) f(n,x)\u3017<\/p>\n
for some hopefully tractable f(x,n). This is good because the dual sum may be of shorter length than the original sum.<\/p>\n
Date: Friday, March 7, 2025
\nTime: 19:00
\nPlace: SB-Z11<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics. Speaker: Tomos Parry (Bilkent) \u201dVoronoi\u2019s summation formula\u201d 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\u2019s summation formula, which [\u2026] <\/p>\n