Sums with multiplicative functions over a Beatty sequence

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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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Number Theory, 11E25, 11B83

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http://salesiana.dossiersoluciones.com/handle/123456789/146216

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2796
 http://arxiv.org/abs/0801.2796

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arXiv