Tsz Ho Chan
Published 2018-01-05Version 1
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.
Comments: An addendum is added in addition to the original paper to cover the range $N^2 d \ll a \ll N^2 d^2$
Journal: T. H. Chan, Distance between arithmetic progressions and perfect squares, Mathematika 57 (2011), no. 1, 41-49
An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares
Union of Two Arithmetic Progressions with the Same Common Difference Is Not Sum-dominant
Perfect squares have at most five divisors close to its square root
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