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The Value of Bernoulli Polynomials at Rational Numbers
Author(s) -
Sury B.
Publication year - 1993
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/25.4.327
Subject(s) - mathematics , bernoulli's principle , value (mathematics) , bernoulli polynomials , pure mathematics , difference polynomials , orthogonal polynomials , statistics , thermodynamics , physics
We give a short elementary proof of a result of Almkvist and Meurman [1] on an integrality property of the values taken by the Bernoulli polynomials at a rational number. We use a lemma on the divisibility properties of certain binomial coefficients which seems to be of independent interest.