Congruences for higher-order Euler numbers.

DOI10.3792/pjaa.82.30zbMath1120.11011OpenAlexW2051401759MaRDI QIDQ863739

Guodong Liu

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1144158989

zbMATH Keywords

Euler numbers, congruenceshigher-order Euler numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items (7)

On congruences of Euler numbers modulo powers of two ⋮ Applications of an explicit formula for the generalized Euler numbers ⋮ Unnamed Item ⋮ Generating functions and generalized Euler numbers ⋮ Unnamed Item ⋮ Euler numbers congruences and Dirichlet \(L\)-functions ⋮ Euler tangent numbers modulo 720 and Genocchi numbers modulo 45

Cites Work

• Summation and recurrence formula involving the central factorial numbers and zeta function.
• A conjecture on Euler numbers
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