On Carlitz theorem for Bernoulli polynomials



Abstract

The well-known Carlitz theorem for the Bernoulli numbers Bn, (see [3]) is extended to the case of values of the Bernoulli polynomials Bn(y) at rational points a/b, where (b,n!) = 1.


Keywords

Bernoulli polynomials

1. G. Almkvist, A. Meurman, Values of Bernoulli polynomials and Hurwitz's zeta function at rational points, C. R. Math. Rep. Acad. Canada, XIII.3 (1991), 104-108.
2. K. Bartz, J. Rutkowski, On the von Staudt-Clausen theorem, C. R. Math. Rep. Acad. Canada, XV.1 (1993), 46-48.
3. L. Carlitz, Some congruences for the Bernoulli numbers, Amer. J. Math., 75 (1953), 163-172.
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Published : 1998-09-30


BartzK. M. (1998). On Carlitz theorem for Bernoulli polynomials. Annales Mathematicae Silesianae, 12, 9-13. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14157

Krystyna M. Bartz  kbartz@math.amu.edu.pl
Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza w Poznaniu  Poland



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