Leo Goldmakher

collaborators

2 papers

math.NT2017

Improving the Burgess bound via Polya-Vinogradov

Elijah Fromm, Leo Goldmakher

We show that even mild improvements of the Polya-Vinogradov inequality would imply significant improvements of Burgess' bound on character sums. Our main ingredients are a lower bo…

math.NT2017

Refinements of Lagrange's four-square theorem

Leo Goldmakher, Paul Pollack

A well-known theorem of Lagrange asserts that every nonnegative integer $n$ can be written in the form $a^{2} + b^{2} + c^{2} + d^{2}$ , where $a, b, c, d \in Z$ . We characterize the values…