Euler numbers congruences and Dirichlet \(L\)-functions

DOI10.1016/j.jnt.2009.01.004zbMath1228.11026OpenAlexW2050752943MaRDI QIDQ1019856

Junzhuang Li, Duansen Liu, Nian Liang Wang

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.004

zbMATH Keywords

congruencesDirichlet \(L\)-functionEuler numbersDirichlet class number formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

Weighted short-interval character sums

Cites Work

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• \(q\)-Volkenborn integration
• Congruences for higher-order Euler numbers.
• Applications of an explicit formula for the generalized Euler numbers
• Euler numbers and polynomials associated with zeta functions
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• On congruences of Euler numbers modulo powers of two
• On a conjecture of the Euler numbers
• Generating functions and generalized Euler numbers
• On Euler numbers modulo powers of two
• Note on the Euler Numbers and Polynomials
• q-Euler numbers and polynomials associated with p-adic q-integrals
• A note on p-adic q-integrals associated with q-Euler numbers
• A Note on Euler Numbers and Polynomials

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