Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers

DOI10.1016/j.disc.2006.03.067zbMath1220.11022arXivmath/0508546OpenAlexW2041463709MaRDI QIDQ2501551

Hao Pan

Publication date: 14 September 2006

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508546

zbMATH Keywords

Jacobi symbol\(q\)-Fibonacci number\(q\)-Pell number

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

The infinite sum of the cubes of reciprocal pell numbers ⋮ Anti-palindromic compositions ⋮ The infinite sum of reciprocal Pell numbers ⋮ Congruences for \(q\)-Lucas numbers ⋮ q-ANALOGUES OF WILSON'S THEOREM ⋮ The $*$-Markov equation for Laurent polynomials ⋮ -DEFORMED RATIONALS AND -CONTINUED FRACTIONS ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

Cites Work

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• \(q\)-Pell sequences and two identities of V. A. Lebesgue
• Variants of the Rogers-Ramanujan identities
• A Note on the Fibonacci Quotient F_p-ε/p
• q-Abel polynomials
• Fibonacci numbers and Fermat's last theorem

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