Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields

DOI10.1007/s00013-023-01952-0arXiv2205.15844OpenAlexW4281630222WikidataQ128681988 ScholiaQ128681988MaRDI QIDQ6130278

Frédéric Paulin, Jouni Parkkonen

Publication date: 2 April 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15844

zbMATH Keywords

Euler functionMertens formulaimaginary quadratic number fieldMirsky formula

Mathematics Subject Classification ID

Quadratic extensions (11R11) Asymptotic results on arithmetic functions (11N37) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• On Euler's \(\varphi\)-function in quadratic number fields
• On the statistics of pairs of logarithms of integers
• Counting integral ideals in a number field
• Summation formulae involving arithmetic functions

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