Euler’s groups of powers of prime complex integers

نویسندگان

  • Vladimir I. Arnold
  • V. I. Arnold
چکیده

The article describes Euler’s group Γ (z), formed by the invertible elements of the ring of the residues of the integer complex numbers modulo numbers divisible by z. The answers are proved for the primary cases z = (1+ i)m and z = (p+ iq)m, p2 +q2 = 4k+3 being prime.

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تاریخ انتشار 2014