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Sums with multiplicative functions over a Beatty sequence

2008/01/18 by Ahmet M. Güloğlu, Ahmet M. Guloglu, Guloglu, Ahmet M. +2
Mathematics · #11B83 #11E25 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.NT #msc:11B83 #msc:11E25

paper · pdf · doi:10.48550/arxiv.0801.2796

arxiv created 2008/01/18 · openalex publication_date 2008/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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