Sums of even ascending powers
Number Theory
2020-01-09 v1
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.
Keywords
Cite
@article{arxiv.2001.02429,
title = {Sums of even ascending powers},
author = {Chan Ieong Kuan and Didier Lesesvre and Xuanxuan Xiao},
journal= {arXiv preprint arXiv:2001.02429},
year = {2020}
}
Comments
20 pages