Pairs of cubic forms in many variables
Pairs of Quadratic Forms.
Parameter spaces for quadrics
The parameter spaces for quadrics are reviewed. In addition, an explicit formula for the number of quadrics tangent to given linear subspaces is presented.
Partially defined cocycles and the Maslov index for a local ring
In this paper we study some aspects of the cohomology of groups and we construct a central extension of the symplectic group .
Partitions quadratiques et cyclotomie
Perfect unary forms over real quadratic fields
Let be a real quadratic field with ring of integers . In this paper we analyze the number of -orbits of homothety classes of perfect unary forms over as a function of . We compute exactly for square-free . By relating perfect forms to continued fractions, we give bounds on and address some questions raised by Watanabe, Yano, and Hayashi.
Petites solutions des congruences
Pfaffians, central simple algebras and similtudes.
Pfaffien et discriminant
Pfister Ideals in Witt Rings.
Pfister's conjecture on quadratic Co-fields.
Picard groups of Witt rings.
Poincaré automorphisms for nondegenerate CR quadrics.
Polynomial modular n-queens solutions
Positive inverse Einheiten in komplexen kubischen Zahlkörpern
Positive-definite quadratic bundles over the plane.
Predictive criteria for the representation of primes by binary quadratic forms
Prime factorization of integral Cayley octaves
Prime producing polynomials: Proof of a conjecture by Mollin and Williams
Primitive lattice points inside an ellipse
Let be a positive definite binary quadratic form with arbitrary real coefficients. For large real , one may ask for the number of primitive lattice points (integer points with ) in the ellipse disc , in particular, for the remainder term in the asymptotics for . While upper bounds for depend on zero-free regions of the zeta-function, and thus, in most published results, on the Riemann Hypothesis, the present paper deals with a lower estimate. It is proved that the absolute value or...