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Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields

Archiv der Mathematik(2024)

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摘要
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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关键词
Euler function,Imaginary quadratic number field,Mertens formula,Mirsky formula
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