Arithmetic functions with linear recurrence sequences

Florian Luca*, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We obtain asymptotic formulas for all the moments of certain arithmetic functions with linear recurrence sequences. We also apply our results to obtain asymptotic formulas for some mean values related to average orders of elements in finite fields.

Original languageEnglish
Pages (from-to)459-472
Number of pages14
JournalJournal of Number Theory
Issue number2
Publication statusPublished - Aug 2007


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