Estimates for reduced binary forms.
Even Symmetric Sextics.
Extreme binary forms
Formation d'un cube entier qui soit égal à la somme de quatre cubes entiers
Forms over p-adic fields
Higher Level Reduced Witt Rings of Skew Fields.
Hilbert's 17-th problem for sums of 2n-th powers.
Linear Spaces on the Intersection of Cubic Hypersurfaces.
Local global theorems for diagonal forms of higher degree.
Mappings of degree 5, part I
The class of linear (resp. quadratic) mappings over a commutative ring is determined by a set of equation-type relations. For the class of homogeneous polynomial mappings of degree m ≥ 3 it is so over a field, and over a ring there exists a smallest equationally definable class of mappings containing the preceding one. It is proved that generating relations determining that class can be chosen to be strong relations (that is, of the same form over all commutative rings) if{f} m ≤ 5. These relations...
More cubic surfaces violating the Hasse principle
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
Neuer und directer Beweis eines Fundamentalsatzes der Invariantentheorie.
Non-free Projective Modules Over IH[X, Y] and Stable Bundles Over IP2(...).
Number of solutions of cubic Thue inequalities with positive discriminant
Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying . We give improved upper bounds for the number of primitive solutions of the Thue inequality .
On a class of positive semidefinite biquadratic forms. (Sur une classe de formes biquadratiques semi-définies positives.)
On a Diophantine inequality for forms of additive type
On binary quartic forms.
On Cubic Polynomials III. Systems of p-adic Equations.
On Cubic Polynomials IV. Systems of Rational Equations.
On n-derivations and Relations between Elements rⁿ-r for Some n
We find complete sets of generating relations between the elements [r] = rⁿ - r for and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.