Distance between arithmetic progressions and perfect squares
Number Theory
2018-01-08 v1
Abstract
In this paper, we study how close the terms of a finite arithmetic progression can get to a perfect square. The answer depends on the initial term, the common difference and the number of terms in the arithmetic progression.
Keywords
Cite
@article{arxiv.1801.01605,
title = {Distance between arithmetic progressions and perfect squares},
author = {Tsz Ho Chan},
journal= {arXiv preprint arXiv:1801.01605},
year = {2018}
}
Comments
An addendum is added in addition to the original paper to cover the range $N^2 d \ll a \ll N^2 d^2$