Arithmetic functions with linear recurrence sequences

DOI10.1016/j.jnt.2006.12.006zbMath1222.11117OpenAlexW2094433858MaRDI QIDQ996209

Florian Luca, Igor E. Shparlinski

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.12.006

zbMATH Keywords

momentsarithmetic functionsrecurrence sequences of itnegers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Recurrences (11B37)

Related Items (4)

The moments of the logarithm of a G.C.D. related to Lucas sequences ⋮ ON QUOTIENTS OF VALUES OF EULER’S FUNCTION ON FACTORIALS ⋮ Multiperfect numbers on lines of the Pascal triangle ⋮ The reciprocal sum of divisors of Mersenne numbers

Cites Work

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• Average order in cyclic groups
• Some arithmetic properties of recurrence sequences
• A mean-value theorem for multiplicative functions on the set of shifted primes
• Zeros of linear recurrence sequences
• The zero multiplicity of linear recurrence sequences
• Some mean values related to average multiplicative orders of elements in finite fields
• Average multiplicative orders of elements modulo n
• Divisor Sums of Generalised Exponential Polynomials

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