## 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

### Keywords:

integer values; Bernoulli polynomial