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arXiv · 1910.02832

The distribution of divisors of polynomials

Kevin Ford·Guoyou Qian
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Abstract

Let $F(x)$ be an irreducible polynomial with integer coefficients and degree at least 2. For $x\ge z\ge y\ge 2$, denote by $H_F(x, y, z)$ the number of integers $n\le x$ such that $F(n)$ has at least one divisor $d$ with $y 0$ is arbitrarily small.

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Kevin Ford, Guoyou Qian. 2019-10-07. The distribution of divisors of polynomials. https://arxiv.org/abs/1910.02832

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