关于正乘法算术函数值的几何平均

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-09-26 DOI:10.46298/cm.10133

M. Hassani, M. Esfandiari

引用次数: 1

摘要

在本文中，我们得到了满足$f（p）=\alpha（d）\，p^d+O（p^｛d-\delta｝）$的正强乘函数$f$的几何平均值的渐近展开式，对于$d$real和$\alpha\（d），\delta＞0$的任何素数$p$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the geometric mean of the values of positive multiplicative arithmetical functions

In this paper we obtain asymptotic expansion for the geometric mean of the values of positive strongly multiplicative function $f$ satisfying $f(p)=\alpha(d)\,p^d+O(p^{d-\delta})$ for any prime $p$ with $d$ real and $\alpha(d),\delta>0$.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.