# zbMATH — the first resource for mathematics

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