Applications of special functions for the general linear group to number theory
Applications of spinor class fields: embeddings of orders and quaternionic lattices
We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
Approche numérique de la structure du groupe des classes des extensions abéliennes de
Approximation algorithmique du groupe des classes de certains corps cubiques cycliques
Approximation of irrationals.
Approximation Properties of Some Complex Continued Fractions.
Approximations diophantiennes et problèmes additifs dans les groupes abéliens localement compacts
Approximatting rings of integers in number fields
In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients. Such fields occur in the number field sieve algorithm for factoring integers. Applying a variant of a standard algorithm for finding rings of integers, one finds a subring of the number field...
Arithmetic and Galois module structure for tame extensions.
Arithmetic capacities on IP N.
Arithmetic Characterization of Algebraic Number Fields with Small Class Numbers.
Arithmetic Clifford's theorem for Hermitian vector bundles
Arithmetic euclidean rings
Arithmetic groups and salem numbers.
Arithmetic Hilbert modular functions (II).
The purpose of this paper, which is a continuation of [2, 3], is to prove further results about arithmetic modular forms and functions. In particular we shall demonstrate here a q-expansion principle which will be useful in proving a reciprocity law for special values of arithmetic Hilbert modular functions, of which the classical results on complex multiplication are a special case. The main feature of our treatment is, perhaps, its independence of the theory of abelian varieties.
Arithmetic of block monoids
Arithmetic of elliptic curves with supersingular reduction in . (Arithmétique des courbes elliptiques à réduction supersingulière en .)
Arithmetic of formal groups and applications I: Universal norm subgroups.
Arithmetic of non-principal orders in algebraic number fields
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.
Arithmetic of Pell surfaces