Finding Almost Squares

Details Finding Almost Squares Finding Almost Squares

2005-02-09

arxiv.org/abs/math/0502199v2

Mathematics

Number Theory

12 pages, report number added

Scientific paper

We study short intervals which contain an ``almost square'', an integer $n$
that can be factored as $n = ab$ with $a$, $b$ close to $\sqrt{n}$. This is
related to the problem on distribution of $n^2 \alpha \pmod 1$ and the problem
on gaps between sums of two squares.

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