Note on a paper by Bordelles, Dai, Heyman, Pan and Shparlinski, 3

PUBLICATIONES MATHEMATICAE DEBRECEN（2023）

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摘要

Denote by [t] the integral part of t. Under some simple hypothesis on the growth of arithmetic function f, we prove asymptotic formulas for ? Sf(x) := n & LE;x ?h x ?? f n as x & RARR; & INFIN; and give some applications. These improve or generalize some recent results of Zhao and Wu.

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关键词

divisor function, integral part, asymptotic formula

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