O minimu forem kvadratických
On an isotropy criterion for quadratic forms over function fields of curves over non-dyadic complete discrete valuation rings
Harbater, Hartmann and Krashen obtained in 2015 a criterion for the existence of rational points on projective (or principal) homogeneous varieties for rational connected algebraic groups defined over function fields of normal curves over a complete discrete valuation ring in terms of completions of local rings at special points. This was obtained by a reduction via Artin approximation to a related patching problem solved by the same authors in 2009. In the special case of projective quadrics, we...
On Even Unimodular Positive Definite Quadratic Lattices of Rank 32.
On indecomposable quadratic forms.
On indefinite binary quadratic forms and quadratic ideals.
On integral representations by totally positive ternary quadratic forms
Let be a totally real algebraic number field whose ring of integers is a principal ideal domain. Let be a totally definite ternary quadratic form with coefficients in . We shall study representations of totally positive elements by . We prove a quantitative formula relating the number of representations of by different classes in the genus of to the class number of , where is a constant depending only on . We give an algebraic proof of a classical result of H. Maass on representations...
On integral Witt equivalence of algebraic number fields
On numbers with a unique representation by a binary quadratic form
On Quadratic forms isotropic over the function field of a comic.
On reciprocity equivalence of quadratic number fields
On some invariants for systems of quadratic forms over the integers.
On the arithmetic of certain intersections of two quadrics.
On the Genus of Norm Forms.
On the Milnor exact sequence for global function fields
On the number of perfect binary quadratic forms.
On the Pellian equation and the class number of indefinite binary quadratic forms.
On the ramification set of a positive quadratic form over an algebraic number field
On the size of zeros of quadratic forms over rational function fields.
On the sum of two integral squares in quadratic fields ℚ(√±p)
On Trace Forms of Algebraic Number Fields.