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General congruences for Bernoulli polynomials.

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Publication:1868856
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DOI10.1016/S0012-365X(02)00504-6zbMath1134.11310MaRDI QIDQ1868856

Zhi-Wei Sun

Publication date: 28 April 2003

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

Bernoulli polynomialCongruence\(q\)-adic number


Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07)


Related Items (9)

Degenerate and \(n\)-adic versions of Kummer's congruences for values of Bernoulli polynomials ⋮ Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials ⋮ Combinatorial identities in dual sequences ⋮ On sums of binomial coefficients and their applications ⋮ Congruences for sums of binomial coefficients ⋮ Congruences involving Bernoulli and Euler numbers ⋮ Combinatorial congruences modulo prime powers ⋮ On Euler numbers modulo powers of two ⋮ New identities involving Bernoulli and Euler polynomials




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