A quadratic field of prime discriminant requiring three generators for its class group, and related theory
A quadratic field which is euclidean but not norm-euclidean.
A remark about isogenies of elliptic curves over quadratic fields
A simple criterion for solvability of both and .
A subconvexity bound for Hecke L-functions
A supplement to Scholz's reciprocity law
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
We show how to adapt Terr’s variant of the baby-step giant-step algorithm of Shanks to the computation of the regulator and of generators of principal ideals in real-quadratic number fields. The worst case complexity of the resulting algorithm depends only on the square root of the regulator, and is smaller than that of all other previously specified unconditional deterministic algorithm for this task.
A type of class group for imaginary quadratic fields
A weakening of the euclidean property for integral domains and applications to algebraic number theory. II.
A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
Abelian p-class field towers over the cyclotomic ℤₚ-extensions of imaginary quadratic fields
Abschätzungen für die Klassenzahlen der quadratischen Körper
Addendum: Les extensions quadratiques du corps des raionnels, ou du corps de Gauss, ou du coprs des racines cubiques de l'unité de calibres 1.
An application of dihedral fields to representations of primes by binary quadratic forms
An Artin Character and Represenattions of Primes by Binary Quadratic Forms.
An Artin Character and Representations of Primes by Binary Quadratic Forms II.
An Artin Character and Representations of Primes by Binary Quadratic Forms III.
An asymptotic formula relating the Siegel zero and the class number of quadratic fields
An explicit bound for Iwasawa's λ-invariant
An infinite family of pairs of quadratic fields ℚ(√D) and ℚ(√mD) whose class numbers are both divisible by 3