4 citations · 5 across the 4 of their papers we have counts for
5 papers
A Bounded-Defect Construction for the Mondrian Art Problem
Cooper O'Kuhn, Freeman Slaughter
We construct an infinite family of solutions to the Mondrian art problem with absolute defect bounded above by , of side lengths , , and $n_{j+2} = 34…
Improved Average Bounds for an Inequality of Alladi, Erdös, and Vaaler
Cooper O'Kuhn
We prove an averaged version of a claim suspected to be true by Alladi, Erdös, and Vaaler. Qualitatively, the result states that a divisor sum of a multiplicative function, which o…
A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors
Tanmay Khale, Cooper O'Kuhn, Apoorva Panidapu +2
Let be a finite Galois extension of . We count primes in short intervals represented by the norm of a prime ideal of satisfying a small sector condition determi…
The Mondrian Puzzle: A Bound Concerning the Case
Cooper O'Kuhn, Todd Fellman
In response to the Numberphile video regarding the Mondrian Puzzle https://www.youtube.com/watch?v=49KvZrioFB0, we provide a lower bound on how many integers less than a given thre…
The Mondrian Puzzle: A Connection to Number Theory
Cooper O'Kuhn
We obtain partial progress towards answering the question of whether the quantity defined in the Mondrian Puzzle can ever equal 0. More specifically, we obtain a nontrivial lower b…