Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
Combinatorics
2011-03-25 v1
Abstract
Motivated by the resemblance of a multivariate series identity and a finite analogue of Euler's pentagonal number theorem, we study multiple extensions of the latter formula. In a different direction we derive a common extension of this multivariate series identity and two formulas of Lucas. Finally we give a combinatorial proof of Lucas' formulas.
Cite
@article{arxiv.0707.4328,
title = {Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas},
author = {Victor J. W. Guo and Jiang Zeng},
journal= {arXiv preprint arXiv:0707.4328},
year = {2011}
}
Comments
11 pages, to appear in Discrete Mathematics. See also http://math.univ-lyon1.fr/~guo