On the \(2\)-adic valuation of differences of harmonic numbers

zbMATH Open1545.11028MaRDI QIDQ6542782

Tamás Lengyel

Publication date: 23 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

binomial coefficientsharmonic numbers\(p\)-adic orderlacunary sums\(2\)-adic valuation

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83)

Cites Work

• Title not available (Why is that?)
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• On the \(p\)-adic valuation of harmonic numbers
• On certain properties of harmonic numbers
• Exact \(p\)-adic valuations of Stirling numbers of the first kind
• Analytic functions over \(\mathbb Z_p\) and \(p\)-regular sequences
• The \(r\)-Stirling numbers
• Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions
• \(p\)-integral harmonic sums
• On the denominators of harmonic numbers
• The On-Line Encyclopedia of Integer Sequences
• On divisibility properties of some differences of the central binomial coefficients and Catalan numbers
• On divisibility properties of some differences of Motzkin numbers
• A p-adic Study of the Partial Sums of the Harmonic Series
• On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$
• Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers
• EXACT p-ADIC ORDERS FOR DIFFERENCES OF MOTZKIN NUMBERS
• Some properties of partial sums of the harmonic series
• On the \(p\)-adic properties of \(2\)-sected sums involving binomial coefficients

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