Seminars & Colloquia Calendar
Sets of Large Harmonic Sum Containing no Long Arithmetic Progressions
Alex Walker, Rutgers
Location: Via Zoom, email Brooke at: firstname.lastname@example.org for login information.
Date & time: Wednesday, 16 September 2020 at 1:30PM - 2:30PM
Abstract: How large can the harmonic sum of a set of integers be, when that set includes no arithmetic progression of \(k\) terms? A conjecture of Erdos' posits that these harmonic sums should be finite. If so, how quickly can these sums grow as \(k\) tends to infinity. In this talk, I describe a new construction for \(k\)-term-progression-avoiding sets which is amenable to computer search. We produce some record-setting sets and are left with a lot more questions.