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Values of Bernoulli polynomials and Hurwitz’s zeta function at rational points. (English) Zbl 0731.11014
Let \(B_ n(t)\) denote the Bernoulli polynomial of degree n. It is shown that \(k^ n\{B_ n(h/k)-B_ n(0)\}\) is an integer for all positive integers h and k.

MSC:
11B68 Bernoulli and Euler numbers and polynomials
11M35 Hurwitz and Lerch zeta functions
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