Proof of the combinatorial nullstellensatz over integral domains, in the spirit of Kouba.
Proof of the existence of certain triples of polynomials
Pro-p Galois groups of rank ... 4.
Properties of extensions of algebraically maximal fields.
We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.
Propriété Ci revue et généralisée
Propriétés algébriques de suites différentiellement finies
Propriétés algébriques des opérateurs d'Airy de petit ordre
Propriétés algébriques des polynômes en D.
Propriétés spectrales en analyse non archimédienne
Pseudobetragsfunktionen auf Quotientenkörpern von Dedekindringen.
Pseudo-valuation and pseudo norm
Puiseux series polynomial dynamics and iteration of complex cubic polynomials
We let be the completion of the field of formal Puiseux series and study polynomials with coefficients in as dynamical systems. We give a complete description of the dynamical and parameter space of cubic polynomials in . We show that cubic polynomial dynamics over and are intimately related. More precisely, we establish that some elements of naturally correspond to the Fourier series of analytic almost periodic functions (in the sense of Bohr) which parametrize (near infinity) the quasiconformal...
Puiseux series solutions of ordinary polynomial differential equations: complexity study.
P-алгебры над многомерным локальным полем
Quadratic factors of f(x) -g(y)
Quadratic forms and radicals of fields
Quadratic Forms and the u-Invariant. I.
Quadratic forms, division algebras and inseparable multiquadratic extensions. (Formes quadratiques, algèbres à division et extensions multiquadratiques inséparables.)
Quadratic Forms Under Algebraic Extensions.
Quadratic subfields of quartic extensions of local fields.