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.
On nonary cubic forms.
On nonary cubic forms: II.
On nonary cubic forms: III.
On orthogonal decomposition of homogeneous polynomials
On the classification of 3-dimensional non-associative division algebras over -adic fields
Let be a prime and a -adic field (a finite extension of the field of -adic numbers ). We employ the main results in [12] and the arithmetic of elliptic curves over to reduce the problem of classifying 3-dimensional non-associative division algebras (up to isotopy) over to the classification of ternary cubic forms over (up to equivalence) with no non-trivial zeros over . We give an explicit solution to the latter problem, which we then relate to the reduction type of the jacobian...
On the fractional parts of cubic forms
On the number of equivalence classes of binary forms of given degree and given discriminant
On the Poincaré series for diagonal forms over algebraic number fields
On the properties of invariants of forms.
On the Representation of Integers by Binary Cubic Forms of Positive Discriminant.
On the representation of integers by binary cubic forms of positive discriminant (Erratum).
On the representation of integers by certain binary cubic and biquadratic forms
On weak automorphs of binary forms over an arbitrary field [Book]
On zeros of diagonal forms over p-adic fields