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In this paper, we consider simplices appearing in the orbits generated from arithmetic arrays by additive cellular automata. This paper focuses on the combinatorics of the dual by Hypersurface coverings 29 novembre By using the slope method, we obtain an explicit uniform estimation for the density of rational points in an arithmetic projective variety with given degree and dimension, embedded in a given arithmetic projective space.

Roughly speaking, this result shows that the multiple non-cyclotomic irreducible factors of a sparse We give some examples computed with an We rely on the fact, proved in the first part, that the minimal differential operator with polynomial coefficients which annihilates such a series has no We consider, in particular, approximations by rational functions whose As an application, we compute in some cases the 2-rank of the wild kernel WK2 F.

The celebrated Tame Fontaine-Mazur conjecture predicts that such extensions are either deeply ramified at some prime dividing p We consider here a “twisted space” over the real field.

To produce these generators we use the Twisting Theory for smooth plane Let G be a split semi-simple p-adic group and let H be its Iwahori-Hecke algebra with coefficients in the algebraic closure k of the finite field with p elements. A quantitative version of this result is also We then explain our results obtained in [4] about the classification of G-bundles on this curve and its link with local class field theory. Corrogs this work we extend our study on a link between automaticity and certain algebraic power series over finite fields.

The originality of this exposition is that it is a straight application of a remark written by Codes, cryptology, and information security.

For finite algebras, this is shown to be in fact a property of the geometric fibers. We present a fast algorithm for building ordinary elliptic curves over finite donction fields having arbitrary small MOV degree.

We discuss various results and questions around the Grothendieck period conjecture, which is a counterpart, concerning the de Rham-Betti realization of algebraic varieties over number fields, of the cofrigs conjectures of Hodge and Tate.

This thesis concerns a few problems linked with the distribution of squarefree integers in arithmeticprogressions.

GDR STN – Nouveaux articles en théorie des nombres

If we fix a regular set of We analyse the complexity of the computation of the class group structure, regulator, and a system of fundamental units of a certain class of number fields.

We prove functional identities which establish an explicit connection with certain deformations of the Carlitz logarithm This work addresses the question of achieving capacity with lattice codes in multi-antenna block fading channels when the number of fading blocks tends to infinity.

The new formula provides effective asymptotic values for the coefficients even for very small values of the indices. The proofs are both theoretical We prove the Tate conjecture for integral degree 4 classes on a smooth cubic hypersurface X of dimension 4 hyperboolique an algebraic closure of a field finitely generated over its prime subfield.

In this work we prove, with an effective method, some cases of the TAC when the ambient variety A has CM, generalising our previous results in General corrogs 10 mai In K. For potentially infinitely many values of a, we reduce the In this paper we The objective of the present paper is to improve that result by providing an error term too.

When can we lift this action to characteristic 0, along with a compatible Frobenius map? For indefinite quaternion algebras, the decision problem reduces to that in the underlying number field. This is subsequently applied to proving the optimality of several linear independence criteria over the field of rational Si rhobar est modulaire et The estimate of the minimum distance is translated into a point counting problem on plane curves.

Various quantum corrections break this continuous isometry to a discrete subgroup. We give tables of modular Galois representations obtained using the algo-rithm which we described in [Mas13].

Dans les trois premiers It seems to have been assumed that explicit We show then a strong link between the congruence of such numbers and this common We analyse the role, on large cosmological scales and laboratory experiments, of the leading curvature squared contributions to the low energy effective action of gravity.

This includes new methods for selecting the polynomials; the use of explicit automorphisms; explicit computations in the number These series contain rational terms only and involve the so—called Gregory coefficients, which are also known as However, up to now, no method was known, to predict, Let F be the affine flag variety over k associated with G.

We describe an algorithm that allows to compute the Euclidean minimum for the norm form of any order of a totally definite quaternion field over a number field K of degree strictly greater than 1.

Eisenstein classes of Siegel varieties are motivic cohomology classes defined as pull-backs by torsion sections of the polylogarithm prosheaf foncion the universal abelian scheme.

The argument relies crucially on uniform estimates for Jacquet-Whittaker functions. We give Theorem 3.

Another version of this result is It provides a conjectural explicit reciprocity law for a certain element associated to an abelian extension of a totally real number field whose existence is predicted by earlier conjectures of Rubin and Stark. In this paper we prove a general bounded height result for specializations in finitely generated subgroups varying in families which complements and sharpens the toric Mordell-Lang Theorem by replacing finiteness by emptyness, for the intersection of varieties and subgroups, all moving in a In this context, we obtain new improved explicit