Sums of multiplicative functions over a Beatty sequence

Date

2008

Authors

Güloǧlu, A. M.
Nevans, W. C.

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Abstract

We study sums involving multiplicative functions that take values over a nonhomogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas for quantities such as the number of integers in a Beatty sequence that are representable as a sum of two squares up to a given magnitude. © 2008 Australian Mathematical Society.

Source Title

Bulletin of the Australian Mathematical Society

Publisher

Cambridge University Press

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Citation

Published Version (Please cite this version)

Language

English