Arithmetic functions with linear recurrence sequences |
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Authors: | Florian Luca Igor E Shparlinski |
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Institution: | a Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58089, Morelia, Michoacán, Mexico b Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
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Abstract: | 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. |
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