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Bernoulli number (Definition)

"Bernoulli number" is owned by alozano. [ full author list (3) | owner history (2) ]
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See Also: generalized Bernoulli number, Bernoulli polynomial, sum of $r$th powers of the first $n$ positive integers, Euler-Maclaurin summation formula, values of the Riemann zeta function in terms of Bernoulli numbers, Taylor series via division, Bernoulli polynomials and numbers, Euler numbers

Keywords:  number theory

Attachments:
congruence of Clausen and von Staudt (Theorem) by alozano
Kummer's congruence (Theorem) by alozano
the odd Bernoulli numbers are zero (Theorem) by alozano
recurrence formula for Bernoulli numbers (Derivation) by rm50
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Cross-references: Euler-Maclaurin summation formula, function, tangent, formulas, elementary, occur in, numbers, odd function, coefficients, generating function, exponential, Bernoulli polynomial
There are 15 references to this entry.

This is version 9 of Bernoulli number, born on 2001-10-15, modified 2007-12-20.
Object id is 219, canonical name is BernoulliNumber.
Accessed 10576 times total.

Classification:
AMS MSC: 11B68 (Number theory :: Sequences and sets :: Bernoulli and Euler numbers and polynomials)
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