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arXiv · 2609.22296

Close Divisors of Typical Integers:The Ford--Green--Koukoulopoulos Conjecture

Yaping Mao·Yanyan Song
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Abstract

For an integer $k\geq2$, let $α_k$ be the supremum of the real numbers $a$ for which almost every integer $n\geq2$ has divisors $d_1<\cdots β_k/(1-β_k)$, almost every integer $n\geq2$ has no divisors $d_1<\cdots<d_k\mid n$ satisfying $d_k\leq d_1\bigl(1+(\log n)^{-a}\bigr)$.

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Yaping Mao, Yanyan Song. 2026-09-14. Close Divisors of Typical Integers:The Ford--Green--Koukoulopoulos Conjecture. https://arxiv.org/abs/2609.22296

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