A 2-adic formula for Bernoulli numbers of the second kind and for the Nörlund numbers

DOI10.1016/J.JNT.2008.03.002zbMath1182.11014OpenAlexW2031848354MaRDI QIDQ1011463

Paul Thomas Young

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.03.002

zbMATH Keywords

Bernoulli numbers of the second kindCauchy numbers of the first kindNörlund numbers

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (7)

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients ⋮ Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Poly-Cauchy numbers with a \(q\) parameter ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ Sums of products of Cauchy numbers, including poly-Cauchy numbers ⋮ Shifted poly-Cauchy numbers ⋮ Some identities and congruences concerning Euler numbers and polynomials

Cites Work

• 2-adic congruences of Nörlund numbers and of Bernoulli numbers of the second kind
• The Cauchy numbers
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