On the Monoid Generated by a Lucas Sequence

DOI10.1007/978-3-319-55357-3_14zbMath1426.11105arXiv1606.02639OpenAlexW3105012720MaRDI QIDQ4581330

Clemens Heuberger, Stephan G. Wagner

Publication date: 17 August 2018

Published in: Number Theory – Diophantine Problems, Uniform Distribution and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02639

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• DLMF
• OEIS

Cites Work

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• Fibonacci integers
• Mellin transforms and asymptotics: Harmonic sums
• Mellin transforms and asymptotics: Digital sums
• The number of distinct part sizes in a random integer partition
• The Erdös-Kac theorem for additive arithmetical semigroups
• The distribution of the number of summands in the partitions of a positive integer
• Existence of primitive divisors of Lucas and Lehmer numbers
• Register Allocation for Unary–Binary Trees
• A Note on the Theory of Moment Generating Functions

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