On Kummer-type congruences for derivatives of Barnes' multiple Bernoulli polynomials

DOI10.1006/jnth.2001.2702zbMath0993.11008OpenAlexW1972891087MaRDI QIDQ5960993

Kaori Ota

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2702

zbMATH Keywords

Barnes' multiple zeta functionBernoulli polynomialsJFM 35.0462.01Kummer congruences

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41)

Related Items (7)

Barnes' multiple Bernoulli and generalized Barnes' multiple Frobenius-Euler mixed-type polynomials ⋮ \(q\)-generalized Euler numbers and polynomials ⋮ Bernoulli numbers in \(p\)-adic analysis. ⋮ Results on values of Barnes polynomials ⋮ Unnamed Item ⋮ Approximating the constants of Glaisher-Kinkelin type ⋮ A note on q-Bernoulli numbers and polynomials

Cites Work

• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• On the multiple gamma-functions
• A generalization of Kummer's congruences
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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