Yuchen Ding

activity

20222026

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2 papers · 1 filter

math.NT2023

On a conjecture of Ram\'ırez Alfons\'ın and Skałba III

Yuchen Ding, Takao Komatsu

Let $1 < c < d$ be two relatively prime integers. For a non-negative integer $ℓ$ , let $g_{ℓ} (c, d)$ be the largest integer $n$ such that $n = c x + d y$ has at most $ℓ$ non-negative…

math.NT2023

On a conjecture of Ram\'ırez Alfons\'ın and Skałba II

Yuchen Ding, Wenguang Zhai, Lilu Zhao

Let $1 < c < d$ be two relatively prime integers and $g_{c, d} = c d - c - d$ . We confirm, by employing the Hardy--Littlewood method, a 2020 conjecture of Ram\'ırez Alfons\'ın and Skałba which…