R. Evans

collaborators

2 papers

math.NT2025

Cubic residuacity of real quadratic integers

Ron Evans, Mark Van Veen

Given a real quadratic integer $u = A + B D$ 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…

math.NT2024

Ring class fields and a result of Hasse

R. Evans, F. Lemmermeyer, Z. -H. Sun +1

For squarefree $d > 1$ , let $M$ denote the ring class field for the order $Z [- 3 d]$ in $F = Q (- 3 d)$ . Hasse proved that $3$ divides the class number of $F$ if and only if t…