J. Lichtman

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20152026

most citedThe Erdos conjecture for primitive sets

12 citations · 67 across the 28 of their papers we have counts for

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math.NT2025

The $ab c$ conjecture is true almost always

Jared Duker Lichtman

Let $rad (n)$ denote the product of distinct prime factors of an integer $n \geq 1$ . The celebrated $ab c$ conjecture asks whether every solution to the equation $a + b = c$ in trip…

math.NT2025

Erdős's integer dilation approximation problem and GCD graphs

Dimitris Koukoulopoulos, Youness Lamzouri, Jared Duker Lichtman

Let $A \subset R_{⩾ 1}$ be a countable set such that $lim sup_{x \to \infty} \frac{1}{l o g x} \sum_{α \in A \cap [1, x]} \frac{1}{α} > 0$ . We prove that, for ev…

The abc conjecture is true almost always

Erdős's integer dilation approximation problem and GCD graphs

The $ab c$ conjecture is true almost always