Simultaneous diagonal inequalities of odd degree.
Simultaneous p-adic Zeros of Quadratic Forms.
Some applications of decomposable form equations to resultant equations
1. Introduction. The purpose of this paper is to establish some general finiteness results (cf. Theorems 1 and 2) for resultant equations over an arbitrary finitely generated integral domain R over ℤ. Our Theorems 1 and 2 improve and generalize some results of Wirsing [25], Fujiwara [6], Schmidt [21] and Schlickewei [17] concerning resultant equations over ℤ. Theorems 1 and 2 are consequences of a finiteness result (cf. Theorem 3) on decomposable form equations over R. Some applications of Theorems...
Some aspects of Gaussian composition
Sums of 2m-th powers of rational functions in one variable over real closed fields.
Sums of th powers in non-commutative rings.
Sums of two powers of linear forms
Sur les générateurs des ordres monogènes des corps de nombres algébriques.
Sur les -applications
Sur les n-normes
Sur quelques théorèmes fondamentaux de l'algèbre moderne
Systems of Homogeneous Equations.
The Adelic Zeta Function Associated to the Space of Binary Cubis Forms. Part I: Global Theory.
The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
The classification of (3, 3, 3) trilinear forms.
The density of rational points on cubic surfaces
The Lehmus inequality.
The Moduli Space of (3,3,3) Trilinear forms.
The solubility of diagonal cubic surfaces
The Waring loci of ternary quartics.