paper

Sums of even ascending powers

arXiv:2001.02429

Abstract

Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first explicit bound on this number, and show that any large enough integer can be written as a sum of 133 ascending even powers.

20 pages

Sums of even ascending powers · wovepaper