On Euler's \(\varphi\)-function in quadratic number fields

DOI10.1007/BF01490207zbMath0594.12001OpenAlexW2320109466MaRDI QIDQ1076719

Werner Georg Nowak

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178296

zbMATH Keywords

quadratic number fieldsDedekind zeta-functionEuler's phi-function

Mathematics Subject Classification ID

Quadratic extensions (11R11) Asymptotic results on arithmetic functions (11N37) Zeta functions and (L)-functions of number fields (11R42) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items

Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields ⋮ Bemerkungen über Fordkugeln. (Remarks on Ford balls)

Cites Work

• Functional equations with multiple gamma factors and the average order of arithmetical functions
• On the average order of the function \(E(x) = \sum_{n\leq x}\varphi(n)-{{3x^ 2}\over{\pi^ 2}}\).
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