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.