Leonardo Carofiglio

most cited

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-adic valuation of harmonic sums and their connections with Wolstenholme primes

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NT2025

On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers

Leonardo Carofiglio, Giacomo Cherubini, Alessandro Gambini

We provide numerical evidence towards three conjectures on harmonic numbers by Eswarathasan--Levine and Boyd. Let $J_{p}$ denote the set of integers $n \geq 1$ such that the harmonic…

math.NT2023★ 1 cited

$p$ -adic valuation of harmonic sums and their connections with Wolstenholme primes

Leonardo Carofiglio, Luigi De Filpo, Alessandro Gambini

We explore a conjecture posed by Eswarathasan and Levine on the distribution of $p$ -adic valuations of harmonic numbers $H (n) = 1 + 1/2 + \dots + 1/ n$ that states that the set $J_{p}$ of th…

On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers

p-adic valuation of harmonic sums and their connections with Wolstenholme primes

$p$ -adic valuation of harmonic sums and their connections with Wolstenholme primes