Louis M. Gaudet

collaborators

2 papers

math.NT2025

Counting biquadratic number fields with quaternionic and dihedral extensions

Louis M. Gaudet, Siman Wong

We establish asymptotic formulae for the number of biquadratic number fields of bounded discriminant that can be embedded into a quaternionic or a dihedral extension. To prove thes…

math.NT2024

Sifting for small split primes of an imaginary quadratic field in a given ideal class

Louis M. Gaudet

Let $D > 3$ , $D \equiv 3 (4)$ be a prime, and let $C$ be an ideal class in the field $Q (- D)$ . In this article, we give a new proof that $p (D, C)$ , t…