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- W2024209132 abstract "Let $M(x)$ be the summatory function of the Möbius function and $R(x)$ be the remainder term for the number of squarefree integers up to $x$. In this paper, we prove the explicit bounds $|M(x)|<x/4345$ for $xge 2160535$ and $|R(x)|le 0.02767sqrt x$ for $xge 438653$. These bounds are considerably better than preceding bounds of the same type and can be used to improve Schoenfeld type estimates." @default.
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- W2024209132 date "2007-01-01" @default.
- W2024209132 modified "2023-10-01" @default.
- W2024209132 title "Explicit estimates for summatory functions linked to the Möbius $mu$-function" @default.
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- W2024209132 doi "https://doi.org/10.7169/facm/1229618741" @default.
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