Sums with multiplicative functions over a Beatty sequence
classification
🧮 math.NT
keywords
beattysequencefunctionsmultiplicativesumsapplyasymptoticcases
read the original 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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