Note on the sums of powers of consecutive -integers
arXiv:math/0503209
Abstract
In this paper we construct the -analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the -analogue of the sums of powers of consecutive integers.
10 pages