Théories cohomologiques.
Théories de Galois différentielles et transcendance
On décrit des preuves galoisiennes des versions logarithmique et exponentielle de la conjecture de Schanuel, pour les variétés abéliennes sur un corps de fonctions.
Theory of hyperrings and hyperfields.
Three problems for polynomials of small measure
Topological algebras of continuous functions over valued fields
Topological types of fewnomials
Topologies de corps A-linéaires
Topologische Charakterisierung globaler Körper und algebraischer Funktionenkörper in einer Variablen.
Topology on ordered fields
An ordered field is a field which has a linear order and the order topology by this order. For a subfield of an ordered field, we give characterizations for to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on .
Torsion of the Witt group
Towards a General Theory of Formally ...-Adic Fields.
Towards a Katona type proof for the 2-intersecting Erdős-Ko-Rado theorem.
Towards explicit description of ramification filtration in the 2-dimensional case
The principal result of this paper is an explicit description of the structure of ramification subgroups of the Galois group of 2-dimensional local field modulo its subgroup of commutators of order . This result plays a clue role in the author’s proof of an analogue of the Grothendieck Conjecture for higher dimensional local fields, cf. Proc. Steklov Math. Institute, vol. 241, 2003, pp. 2-34.
Trace forms of central simple algebras.
Trace functions and Galois invariant p-adic measures.
Traces and differential operators over Beilinson completion algebras
Transcendence results on the generating functions of the characteristic functions of certain self-generating sets, II
This article continues a previous paper by the authors. Here and there, the two power series F(z) and G(z), first introduced by Dilcher and Stolarsky and related to the so-called Stern polynomials, are studied analytically and arithmetically. More precisely, it is shown that the function field ℂ(z)(F(z),F(z⁴),G(z),G(z⁴)) has transcendence degree 3 over ℂ(z). This main result contains the algebraic independence over ℂ(z) of G(z) and G(z⁴), as well as that of F(z) and F(z⁴). The first statement is...
Transformation de Fourier -adique et produit tensoriel de corps valués
Translation complements of C-planes: (IV).
Translation structures and group partitions