Valuations of function fields form the geometrical point of view.
*-value functions and total subrings in *-fields.
Various examples of parasemifields
Various subsemirings of the field of rational numbers
Von der Zerlegung der Discriminante der cubischen Gleichung, welche die Hauptaxen einer Fläche zweiter Ordnung bestimmen, in eine Summe von Quadraten.
Wallis entre Hobbes et Newton. La question de l’angle de contact chez les anglais
Cet article traite d’un aspect de la controverse qui a opposé Hobbes et Wallis dans la deuxième moitié du xviie siècle, celui portant sur l’angle de contact. Wallis a publié deux traités sur l’angle de contact, l’un en 1656, l’autre en 1685. Entre ces deux dates sa position sur la question de l’angle de contact a sensiblement évolué. Durant la même période, il s’est opposé à Hobbes sur divers sujets de mathématiques, dont l’angle de contact. J’étudie les positions des deux protagonistes à travers...
Waring's problem for fields
If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of kth powers...
Weil-Châtelet groups over local fields
Well-formed dynamics under quasi-static state feedback
Well-formed dynamics are a generalization of classical dynamics, to which they are equivalent by a quasi-static state feedback. In case such a dynamics is flat, i.e., equivalent by an endogenous feedback to a linear controllable dynamics, there exists a Brunovský type canonical form with respect to a quasi-static state feedback.
Werteverhalten holomorpher Funktionen auf Überlagerungen und zahlentheoretische Analogien.
When is Galois cohomology free or trivial?
Wronskians and linear independence in fields of prime characeteristic.
Wronskien et équations différentielles p-adiques
We prove an inequality linking the growth of a generalized Wronskian of m p-adic power series to the growth of the ordinary Wronskian of these m power series. A consequence is that if the Wronskian of m entire p-adic functions is a non-zero polynomial, then all these functions are polynomials. As an application, we prove that if a linear differential equation with coefficients in ℂₚ[x] has a complete system of solutions meromorphic in all ℂₚ, then all the solutions of the differential equation are...
Wroński's factorization of polynomials
Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse
Zahlkörper mit gleicher Primzerlegung.
Základové náuky o funkcích racionálných
Zero and coefficient inequalities for hyperbolic polynomials.
Zeros of polynomials and exponential diophantine equations
Zeros of polynomials over valued fields.