Distance between arithmetic progressions and perfect squares

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.

An addendum is added in addition to the original paper to cover the range $N^{2}d\ll a\ll N^2{d}^2$

References in corpus (1)

• Finding Almost Squares