Diego Marques

collaborators

2 papers

math.NT2025

Geometric Progressions meet Zeckendorf Representations

Diego Marques, Pavel Trojovsky

Motivated by ErdÅs' ternary conjecture and by recent work of Cui--Ma--Jiang [``Geometric progressions meet Cantor sets'', \textit{Chaos Solitons Fractals} \textbf{163} (2022), 112…

math.NT2025

Asymptotic error terms in Bonse-type inequalities

Diego Marques, Pavel Trojovsky

Let $p_{n}$ denote the $n$ -th prime. In 2000, Panaitopol established the inequality $p_{1} \dots p_{n} > p_{n + 1}^{n - I ¨ (n)}$ for all $n \geq 2$ , where $I ¨ (x)$ is the prime counting fun…