THE QUOTIENT SET OF -GENERALISED FIBONACCI NUMBERS IS DENSE IN

DOI10.1017/S0004972716001118zbMath1425.11031MaRDI QIDQ4975589

Carlo Sanna

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

densityFibonacci numbers\(p\)-adic numbers\(k\)-generalised Fibonacci numbers

Mathematics Subject Classification ID

Recurrences (11B37) Density, gaps, topology (11B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

On the \(p\)-adic denseness of the quotient set of a polynomial image ⋮ \(p\)-adic quotient sets. II: Quadratic forms ⋮ Quotients of Hurwitz Primes ⋮ -ADIC QUOTIENT SETS: LINEAR RECURRENCE SEQUENCES ⋮ DIRECTIONS SETS: A GENERALISATION OF RATIO SETS ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ Unnamed Item ⋮ A note on \(p\)-adic denseness of quotients of values of quadratic forms ⋮ \(p\)-adic denseness of members of partitions of \(\mathbb{N}\) and their ratio sets ⋮ On fractionally dense sets ⋮ \(p\)-adic quotient sets: diagonal forms ⋮ \(p\)-adic quotient sets: cubic forms

Cites Work

• Diophantine triples and \(k\)-generalized Fibonacci sequences
• \(p\)-adic numbers: An introduction.
• Quotients of Primes
• Asymptotic density of A⊂ ℕ and density of the ratio set R(A)
• My Numbers, My Friends
• Quotients of Fibonacci Numbers
• $p$-adic quotient sets
• A simplified Binet formula for k-generalized Fibonacci numbers
• Four Quotient Set Gems
• On the units of algebraic number fields
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