Abstract
In this paper, we investigate rationality of the Barnes numbers, and we find explicit good bounds for their denominators. In addition, we give Fourier expansion of Barnes polynomials and, from this study, we connect generalized Barnes numbers to values of Dirichlet $L$-function at non-negative integers.
Funding Statement
The present research has been conducted by a Research Grant of Kwangwoon University in 2011.
Citation
Abdelmejid Bayad. Taekyun Kim. "Results on values of Barnes polynomials." Rocky Mountain J. Math. 43 (6) 1857 - 1869, 2013. https://doi.org/10.1216/RMJ-2013-43-6-1857
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