ON THE MULTIVARIABLE GENERALIZATION OF ANDERSON-APOSTOL SUMS

Isao Kiuchi; Friedrich Pillichshammer; Sumaia Saad Eddin

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ON THE MULTIVARIABLE GENERALIZATION OF ANDERSON-APOSTOL SUMS

机译：关于Anderson-Apostol总和的多变量概括

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摘要

In this paper, we give various identities for the weighted average of the product of generalized Anderson-Apostol sums with weights concerning completely multiplicative function, completely additive function, logarithms, the Gamma function, Bernoulli polynomials and binomial coefficients, respectively. Our results generalize many known results.

机译：在本文中，我们为广义的Anderson-Apostol总和的加权平均值提供了各种身份，其权重分别与完全乘法功能，完全加性功能，对数，伽马功能，Bernoulli多项式和二项式系数分别提供了各种身份。我们的结果概括了许多已知结果。

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来源
《Far east journal of mathematical sciences》 |2021年第1期|1-24|共24页
作者
Isao Kiuchi; Friedrich Pillichshammer; Sumaia Saad Eddin;
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作者单位

Department of Mathematical Sciences Faculty of Science Yamaguchi University Yoshida 1677-1, Yamaguchi 753-8512, Japan;

Institute of Financial Mathematics and Applied Number Theory Johannes Kepler University Altenbergerstrasse 69, 4040 Linz, Austria;

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正文语种英语
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关键词
multiplicative function; sums; Binomial coefficientGAMMA FUNCTIONSarithmeticBernoulliWeighted Averagepersonal identitylogarithm (log)Generalization;

机译：乘法函数;总和;二项式系数函数函数ArithmeticbernoulliLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiLiperal senteralityLogarithm（log）概括;

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ON THE MULTIVARIABLE GENERALIZATION OF ANDERSON-APOSTOL SUMS

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