Sums with multiplicative functions over a Beatty sequence

Details Sums with multiplicative functions over a Beatty sequence Sums with multiplicative functions over a Beatty sequence

2008-01-18

arxiv.org/abs/0801.2796v1

Mathematics

Number Theory

Scientific paper

We study sums with multiplicative functions that take values over a
non-homogenous Beatty sequence. We then apply our result in a few special cases
to obtain asymptotic formulas such as the number of integers in a Beatty
sequence representable as a sum of two squares up to a given magnitude.

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