Arithmetic properties of q-Fibonacci numbers and q-Pell numbers

2005/08/27 by Hao Pan, Pan, Hao
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #math.CO #math.NT #msc:05A30 #msc:11A07 #msc:11B39 #msc:11B65

paper · pdf · doi:10.48550/arxiv.math/0508546

12 pages

arxiv created 2005/08/31 · arxiv updated 2009/12/01

Abstract

We investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers.

Related

• Some divisibility properties of q-Fibonacci numbers
• q-Fibonacci polynomials and q-Genocchi numbers
• Some conjectures about q-Fibonacci polynomials
• Some beautiful q-analogues of Fibonacci and Lucas polynomials
• Recurrence relations for powers of q-Fibonacci polynomials