On \(p\)-adic properties of the Stirling numbers of the first kind

DOI10.1016/j.jnt.2014.09.015zbMath1309.11017OpenAlexW2082930432WikidataQ114157510 ScholiaQ114157510MaRDI QIDQ479574

Tamás Lengyel

Publication date: 5 December 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.09.015

zbMATH Keywords

\(p\)-adic propertiesStirling numbers of the first kindgeneralized harmonic numberscongruence relations modulo prime powersconvolution identities for Stirling numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73)

Related Items (6)

New results on the p-adic valuation of Stirling numbers ⋮ On the \(p\)-adic valuation of Stirling numbers of the first kind ⋮ Exact \(p\)-adic valuations of Stirling numbers of the first kind ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ The p-adic analysis of Stirling numbers via higher order Bernoulli numbers ⋮ 2-Adic valuations of Stirling numbers of the first kind

Uses Software

• OEIS

Cites Work

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• \(p\)-adic \(L\)-functions and sums of powers
• Convolution Identities for Stirling Numbers of the First Kind
• Congruences for the Stirling numbers and associated Stirling numbers
• A p-adic Study of the Partial Sums of the Harmonic Series
• Number Theory

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