Binary forms and unramified An-extensions of quadratic fields.
Binary Quadratic Discriminants with a Single Class of Forms in Each Genus
Binary quadratic forms and Eichler orders
For any Eichler order of level in an indefinite quaternion algebra of discriminant there is a Fuchsian group and a Shimura curve . We associate to a set of binary quadratic forms which have semi-integer quadratic coefficients, and we develop a classification theory, with respect to , for primitive forms contained in . In particular, the classification theory of primitive integral binary quadratic forms by is recovered. Explicit fundamental domains for allow the characterization...
Binary quadratic forms and sums of triangular numbers
Binary quadratic forms and the Fourier coefficients of elliptic and Jacobi modular forms.
Binomial expansions modulo prime powers.
Biquaternion algebras and quartic extensions
Birational geometry of quadrics
We construct new birational maps between quadrics over a field. The maps apply to several types of quadratic forms, including Pfister neighbors, neighbors of multiples of a Pfister form, and half-neighbors. One application is to determine which quadrics over a field are ruled (that is, birational to the projective line times some variety) in a larger range of dimensions. We describe ruledness completely for quadratic forms of odd dimension at most 17, even dimension at most 10, or dimension 14....
Blocks for symmetric groups and their covering groups and quadratic forms.
Bounds for quadratic Waring's problem
Calcul du nombre de classes d'un corps quadratique imaginaire ou réel, d'après Shanks, Williams, McCurley, A. K. Lenstra et Schnorr
Dans cette note nous décrivons différentes méthodes utilisées en pratique pour calculer le nombre de classes d'un corps quadratique imaginaire ou réel ainsi que pour calculer le régulateur d'un corps quadratique réel. En particulier nous décrivons l'infrastructure de Shanks ainsi que la méthode sous-exponentielle de McCurley.
Caractères quadratiques de groupes abéliens finis et sommes de Gauss
Cayley orders
Certain linear combinations of two Pfister forms and the isotropy problem. (Certaines combinaisons linéaires de deux formes de Pfister et le problème d'isotropie.)
Characteristic vectors of unimodular lattices which represent two
We improve the known upper bound of the dimension of an indecomposable unimodular lattice whose shadow has the third largest possible length, .
Charakterisierung von Drehungen und Bewegungen des Rn durch lineare Invarianten.
Chebyshev polynomials in several variables.
Class number formulas for quaternary quadratic forms
Class numbers of binary quadratic forms over algebraic number fields.
Class numbers of binary quadratic lattices over algebraic number fields