How Many Algebraic (Finite) Extensions Over The Rationals
How many algebraic (finite) extensions over the rationals.
Hyperquadratic power series of degree four
Ideales de riesz en espacios localmente k-convexos
Idéaux de fonctions analytiques bornées stables par dérivation
Idéaux de type fini d'algèbres de fonctions analytiques bornées
Idéaux différentiels
Idéaux et types sur les corps séparablement clos
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
I-Hülle und I-Kern von Moduln über Bewertungsringen.
Image sets of polynomials
Immediate and Purely Wild Extensions of Valued Fields.
Improved initialization of the accelerated and robust QR-like polynomial root-finding.
Improvements on the Cantor-Zassenhaus factorization algorithm
The paper presents a careful analysis of the Cantor-Zassenhaus polynomial factorization algorithm, thus obtaining tight bounds on the performances, and proposing useful improvements. In particular, a new simplified version of this algorithm is described, which entails a lower computational cost. The key point is to use linear test polynomials, which not only reduce the computational burden, but can also provide good estimates and deterministic bounds of the number of operations needed for factoring....
Inclusion of the roots of a polynomial based on Gerschgorin's theorem.
Indécidabilité de la théorie des anneaux de séries formelles à plusieurs indéterminées
Indecomposable polynomials and their spectrum
Independent systems of units in certain algebraic number fields.
Indice d’un opérateur différentiel linéaire -adique d’ordre et cohomologie -adiques
Indice d'un opérateur différentiel linéaire p-adique d'ordre 1 et cohomologie p-adique