On the Cohomological Characterization of Real Free Pro-2-Group.
On the cokernel of the Witt decomposition map
Let be a Dedekind domain with field of fractions and a finite group. We show that, if is a ring of -adic integers, then the Witt decomposition map between the Grothendieck-Witt group of bilinear -modules and the one of finite bilinear -modules is surjective. For number fields is also surjective, if is a nilpotent group of odd order, but there are counterexamples for groups of even order.
On the composition of nondegenerate quadratic forms with an arbitrary index
On the composition of nondegenerate quadratic forms with an arbitrary index
On the computation of quadratic -class groups
We describe an algorithm due to Gauss, Shanks and Lagarias that, given a non-square integer mod and the factorization of , computes the structure of the -Sylow subgroup of the class group of the quadratic order of discriminant in random polynomial time in .
On the Definition of a Quadratic Form
On the dimension of some spaces of generalized ternary theta-series.
On the diophantine equation
On the finiteness of Pythagoras numbers of real meromorphic functions
We consider the 17th Hilbert Problem for global real analytic functions in a modified form that involves infinite sums of squares. Then we prove a local-global principle for a real global analytic function to be a sum of squares of global real meromorphic functions. We deduce that an affirmative solution to the 17th Hilbert Problem for global real analytic functions implies the finiteness of the Pythagoras number of the field of global real meromorphic functions, hence that of the field of real...
On the Fourier coefficients of small positive powers of 0 ... .
On the fractional parts of cubic forms
On the Generation of Dyadic Integral Orthogonal Groups.
On the Genus of Norm Forms.
On the group .
On the Hasse principle for Witt groups.
On the imbeddings of imaginary quadratic orders in definite quaternion orders.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field (Correction).
On the intersection of modular correspondences.
On the intersection of three quadrics.