二次数域中的$$\varepsilon$$规范数系的基数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-16 DOI:10.1007/s00009-024-02676-3

Borka Jadrijević

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引用次数: 0

摘要

在本文中，我们给出了在（0,1）中所有值的二次数域中具有有限性的（$\varepsilon$-规范数系统（$\varepsilon$-CNS）的所有基的明确特征。）这一结果是 Jadrijević 和 Miletić 最近关于二次 $\varepsilon $-CNS多项式特征的结果。我们的结果包括经典 CNS ($\varepsilon =0$)在二次数域中具有有限性的所有基的众所周知的特征。它也符合 A. Pethő 和 J. Thuswaldner 提出的广义数系统 (GNS) 的一般框架。

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Bases of $$\varepsilon $$ -Canonical Number Systems in Quadratic Number Fields

In this paper, we give an explicit characterization of all bases of $\varepsilon $-canonical number systems ($\varepsilon $-CNS) with finiteness property in quadratic number fields for all values $\varepsilon \in [0,1)$. This result is a consequence of the recent result of Jadrijević and Miletić on the characterization of quadratic $\varepsilon $-CNS polynomials. Our result includes the well-known characterization of all bases of classical CNS ($\varepsilon =0$) with finiteness property in quadratic number fields. It also fits into the general framework of generalized number systems (GNS) introduced by A. Pethő and J. Thuswaldner.

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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.