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B. Sury (1993)
The Value of Bernoulli Polynomials at Rational NumbersBulletin of The London Mathematical Society, 25
G. Almkvist, A. Meurman (1991)
Values of Bernoulli polynomials and Hurwitz's zeta function at rational points, 13
Heinrich-Wolfgano Leopoldt (1958)
Eine Verallgemeinerung der Bernoullischen ZahlenAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 22
(1982)
Introduction to cyclotomic fields (Springer, New York, 1982). Department of Mathematics Centre for Absorption in Science
K. Staudt
Beweis eines Lehrsatzes, die Bernoullischen Zahlen betreffen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1840
Abstract In [1] Almkvist and Meurman proved a result on the values of the Bernoulli polynomials (Theorem 5 below). Subsequently, Sury [5] and Bartz and Rutkowski [2] have given simpler proofs. In this paper we show how this theorem can be obtained from classical results on the arithmetic of the Bernoulli numbers. The other ingredient is the remark that a polynomial with rational coefficients which is integer-valued on the integers is Z(p)-valued on Z(p). Here Z(p) denotes the ring of rational numbers whose denominator is not divisible by the prime p. An application is given in Section 3 to the arithmetic of generalised Bernoulli numbers. 1991 Mathematics Subject Classification 11B68. © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Jan 1, 1997
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