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Cubic residuacity of real quadratic integers

Authors

  • Ron Evans
  • Mark Van Veen

Abstract

Given a real quadratic integer $u=A+B\sqrt{D}$ with cubic norm, we identify all the classes in a related form class group that represent primes $p$ for which $u$ is a cubic residue mod $p$. A special case of this result was conjectured in a 2025 paper of Evans, Lemmermeyer, Sun, and Van Veen.

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Posted

2025-11-16