Generalized Fibonacci numbers and dimer statistics
Statistical Mechanics
2009-11-07 v2 Combinatorics
Abstract
We establish new product identities involving the -analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.
Keywords
Cite
@article{arxiv.cond-mat/0212334,
title = {Generalized Fibonacci numbers and dimer statistics},
author = {W. T. Lu and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/0212334},
year = {2009}
}
Comments
4 pages, no figure, International Symposium on Frontiers of Science - In celebration of the 80th birthday of C. N. Yang, to appear in Modern Physics Letters B