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
References
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.
Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza w Poznaniu Poland
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