Beiträge zur geometrischen Interpretation binärer Formen
Bemerkung über die Aequivalentsubstitutionen binärer quadratischer Formen.
Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist.
Bilinear forms for SL(2,q), An and similar groups.
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Binäre Formen und Primideale.
Binäre quadratische Formen und Diederkörper
Binary forms and orders of algebraic number fields.
Binary forms and orders of algebraic number fields (Erratum).
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