与周期性zeta函数有关的离散版米寿定理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-26 DOI:10.3846/mma.2024.19502

A. Balčiūnas, M. Jasas, Audronė Rimkevičienė

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引用次数: 0

摘要

在本文中，我们考虑通过离散移位 $\zeta_{u_N}(s+ikh_1; \ga)$ 和 $\zeta_{u_N}(s+ikh_2, \alpha; \gb)$，同时分别逼近一对解析函数，即与具有乘法序列 $\ga$ 的周期性zeta函数和周期性 Hurwitz zeta 函数相连的绝对收敛 Dirichlet 序列。我们假设$u_N\to\infty$和$u_N\ll N^2$为$N\to\infty$，并且集合${(h_1\log p:\! p\in\! \PP),(h_2\log(m+\alpha):m\in \NN_0),2\pi\}$是线性独立于$\QQ$的。

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A DISCRETE VERSION OF THE MISHOU THEOREM RELATED TO PERIODIC ZETA-FUNCTIONS

In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts $\zeta_{u_N}(s+ikh_1; \ga)$ and $\zeta_{u_N}(s+ikh_2, \alpha; \gb)$ of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence $\ga$, and the periodic Hurwitz zeta-function, respectively. We suppose that $u_N\to\infty$ and $u_N\ll N^2$ as $N\to\infty$, and the set $\{(h_1\log p:\! p\in\! \PP), (h_2\log(m+\alpha): m\in \NN_0), 2\pi\}$ is linearly independent over $\QQ$.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.