Cauchy-Carlitz numbers

DOI10.1016/j.jnt.2015.11.019zbMath1400.11065arXiv1508.01858OpenAlexW1940055214WikidataQ114157443 ScholiaQ114157443MaRDI QIDQ5964538

Hajime Kaneko, Takao Komatsu

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1508.01858

zbMATH Keywords

Bernoulli-Carlitz numbersCauchy-Carlitz numbersHasse-Teichmüller derivativesStirling-Carlitz numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Polynomials over finite fields (11T06)

Related Items (5)

Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers ⋮ Hypergeometric Cauchy numbers and polynomials ⋮ Alternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and p ⋮ On multi-poly-Bernoulli-Carlitz numbers ⋮ Appell-Carlitz numbers

Cites Work

• A Herbrand-Ribet theorem for function fields
• On von Staudt for Bernoulli-Carlitz numbers
• Some new identities for Bernoulli-Carlitz numbers
• The Cauchy numbers
• On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic
• POLY-CAUCHY NUMBERS
• Multiplicative relations between coefficients of logarithmic derivatives of 𝔽_q-linear functions and applications
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