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- W4286236354 abstract "We consider the summatory function of the totient function after applications of a suitable smoothing operator and study the limiting behavior of the associated error term. Under several conditional assumptions, we show that the smoothed error term possesses a limiting logarithmic distribution through a framework consolidated by Akbary--Ng--Shahabi. To obtain this result, we prove a truncated version of Perron's inversion formula for arbitrary Riesz typical means. We conclude with a conditional proof that at least two applications of the smoothing operator are necessary and sufficient to bound the growth of the error term by $sqrt{x}$." @default.
- W4286236354 created "2022-07-21" @default.
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- W4286236354 date "2022-07-15" @default.
- W4286236354 modified "2023-09-23" @default.
- W4286236354 title "The Distribution of Error Terms of Smoothed Summatory Totient Functions" @default.
- W4286236354 doi "https://doi.org/10.48550/arxiv.2207.07722" @default.
- W4286236354 hasPublicationYear "2022" @default.
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