On the number of residues of linear recurrences

DOI10.1007/s40993-021-00305-6zbMath1492.11021arXiv2109.05734OpenAlexW4205920841WikidataQ114218075 ScholiaQ114218075MaRDI QIDQ2065753

Carlo Sanna

Publication date: 13 January 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05734

zbMATH Keywords

linear recurrenceprimitive divisorresidueLehmer sequence

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Cites Work

• Recurrence with prescribed number of residues
• Lucas and Lehmer numbers without primitive divisor
• Maximal frequencies of elements in second-order linear recurring sequences over a finite field
• Uniform distribution of linear recurring sequences modulo prime powers.
• Primitive divisors of some Lehmer-Pierce sequences
• Existence of primitive divisors of Lucas and Lehmer numbers
• A Distribution Property for Linear Recurrence of the Second Order
• On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers
• Linear recurrence sequences without zeros
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