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Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields

  • Jouni Parkkonen,
  • Frédéric Paulin

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.