Congruences for the \(q\)-Fibonacci sequence related to its transcendence

DOI10.1007/s11139-023-00802-5arXiv2301.02838OpenAlexW4390497467MaRDI QIDQ6200987

Unnamed Author, Hidetaka Funakura

Publication date: 25 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.02838

zbMATH Keywords

transcendental numberfinite multiple zeta value\(q\)-Fibonacci sequencefinite algebraic numberfinite transcendental number

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Holonomic \(\mathcal D\)-modules and positive characteristic
• A problem analogous to Artin's conjecture for primitive roots and its applications
• On Artin's conjecture and Euclid's algorithm in global fields
• A finite analogue of the ring of algebraic numbers
• The \(\mathbf p\)-adic duality for the finite star-multiple polylogarithms
• On the distribution of the order and index of \(g \pmod p\) over residue classes. II
• On Artin's conjecture.

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