Generalized Fibonacci numbers and dimer statistics

Details Generalized Fibonacci numbers and dimer statistics Generalized Fibonacci numbers and dimer statistics

2002-12-13

arxiv.org/abs/cond-mat/0212334v2

Mod. Phys. Lett. B 16, 1177 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figure, International Symposium on Frontiers of Science - In celebration of the 80th birthday of C. N. Yang, to ap

Scientific paper

10.1142/S0217984902004792

We establish new product identities involving the $q$-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.

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