On von Staudt for Bernoulli-Carlitz numbers

DOI10.1016/J.JNT.2011.12.005zbMath1333.11021OpenAlexW2033265310MaRDI QIDQ765142

José Alejandro Lara Rodríguez

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.12.005

zbMATH Keywords

function fieldsBernoulli numbersDrinfeld modulesdenominators

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (4)

Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers ⋮ Cauchy-Carlitz numbers ⋮ Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic ⋮ Appell-Carlitz numbers

Uses Software

• SageMath

Cites Work

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• Some new identities for Bernoulli-Carlitz numbers
• Von Staudt for \(\mathbb F_q[T\)]
• On certain functions connected with polynomials in a Galois field
• An analogue of the Staudt-Clausen theorem
• An analogue of the Bernoulli polynomials
• Units and class-groups in the arithmetic theory of function fields
• A New Approach to Bernoulli Polynomials
• Characteristic Classes. (AM-76)
• An analogue of the von Staudt-Clausen theorem

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