Note on the sums of powers of consecutive $q$-integers
Number Theory
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/0503209,
title = {Note on the sums of powers of consecutive $q$-integers},
author = {Y. Simsek and D. Kim and T. Kim and S. H. Rim},
journal= {arXiv preprint arXiv:math/0503209},
year = {2016}
}
Comments
10 pages