Ein einfacher geometrischer Beweis für die Determinantenungleichung von O. Szasz.
Eine axiomatische Kennzeichnung der Determinante auf endlich-erzeugten, projektiven Moduln.
Eine Begründung der Resultantentheorie durch einen elementaren Beweis der Cayieysdaen Konstruktion
Einige Bemerkungen über eine Determinante.
Embeddings of 2-spheres in 4-manifolds.
Enumeration of Lattice paths and generating functions for skew plane partitions.
Equations aux différences finies et déterminants d'intégrales de fonctions multiformes.
Erratum: "Embeddings of 2-spheres in 4-manifolds".
Essentially Hermitian matrices revisited.
Estimates of determinants and of the elements of the inverse matrix under conditions of Ostrovskii theorem.
Étienne Bézout : analyse algébrique au siècle des lumières
Le but de cet article, à travers l’étude des travaux en analyse algébrique finie d’Étienne Bézout (1730-1783), est de mieux faire connaître ses résultats, tels qu’il les a effectivement trouvés, et de mettre en valeur aussi bien les points de vue novateurs que les méthodes originales, mis en œuvre à cet effet. L’idée de ramener le problème de l’élimination d’une ou plusieurs inconnues à l’étude d’un système d’équations du premier degré, son utilisation inhabituelle des coefficients indéterminés...
Evaluations of some determinants of matrices related to the Pascal triangle.
Existence and construction of two-dimensional invariant subspaces for pairs of rotations
By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove that every...
Existence of matrices with prescribed entries.
Expansion of (n -1)-Rowed Sub-Determinants.
Exponential polynomial inequalities and monomial sum inequalities in -Newton sequences
We consider inequalities between sums of monomials that hold for all p-Newton sequences. This continues recent work in which inequalities between sums of two, two-term monomials were combinatorially characterized (via the indices involved). Our focus is on the case of sums of three, two-term monomials, but this is very much more complicated. We develop and use a theory of exponential polynomial inequalities to give a sufficient condition for general monomial sum inequalities, and use the sufficient...
Expression de comme quotient de deux déterminants
Extension of Partial Diagonals of Matrices II.
Extensions of the Minkowski determinant theorem