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虚二次数域的截面梅尔滕斯和米尔斯基公式

IF 0.5 4区 数学 Q3 MATHEMATICS
Archiv der Mathematik Pub Date : 2024-02-05 DOI:10.1007/s00013-023-01952-0
Jouni Parkkonen, Frédéric Paulin
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引用次数: 0

摘要

我们将梅尔滕斯和米尔斯基关于通常欧拉函数渐近行为的公式扩展到虚二次数域整数主环的欧拉函数，给出了角扇形和全等的版本。
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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Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields

We extend formulae of Mertens and Mirsky on the asymptotic behaviour of the usual Euler function to the Euler functions of principal rings of integers of imaginary quadratic number fields, giving versions in angular sectors and with congruences.

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来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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