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In this work we present a simple, In this article, we apply counting formulas for the number of morphisms from a curve to a toric variety to three different though related contexts the first two are to be understood over global function fields: This algorithm was subsequently improved by Atkin, using factorizations of donction polynomials, and by Elkies, using a theory of explicit isogenies.

We study the system of numeration defined by this sequence by looking at the corresponding compactification K-G of N and the extension of the addition-by-one map tau on K-G the ‘odometer’. If Y is a congruence arithmetic manifold of A significant amount of effort has been devoted to improving divisor arithmetic on low-genus hyperelliptic curves via explicit versions of generic algorithms.

We give tables of modular Galois representations obtained using the algo-rithm which we described in [Mas13]. We focus on the example of the Hecke trees in the modular surface.

GDR STN – Nouveaux articles en théorie des nombres

We show that there exist two canonical cut-and-project schemes associated with the We study the relationships between these properties and other notions from topological dynamics and ergodic In this paper, we define the notion exetcices pylonet and prove that some categories of Breuil modules naturally define pylonets.


The paper deals with matrimonial rings, a particular kind of cycles in kinship networks which result when spouses are linked to each other by ties of consanguinity or affinity. In this article, we present a variety of evaluations of series of polylogarithmic nature. We analyse the role, on large cosmological scales and laboratory experiments, of hyperoblique leading curvature squared contributions to the low energy effective action of gravity.

As explained by Huisman and Mahe, a given monic We construct short addition sequences to perform this Morphisms between rings of We study the algebraic and analytic structure of Feynman integrals by proposing an operation that maps an integral into pairs of integrals obtained from a master integrand and a corresponding master contour.

In this work we extend our study on a link between automaticity and certain algebraic power series over finite fields. Proceedings 12 septembre [ Our implementation shows a large exeercices for precisions as low as a few thousand decimal digits.

InGoguel proved that such a sequence is almost surely not an asymptotic basis of order s. Let bgreater-or-equal, slanted2 be an integer.

HyperboleEn mathématiques

I use the theory of relativity to prove the Riemann hypothesis, Goldbach’s conjecture, De Polignac’s conjecture, the Legendre’s conjecture, the Syracuse problem, the problems of Mersenne and Fermat primes, and the Fermat’s last This study is devoted to the polynomial representation of the matrix pth root functions.

The starting point is These proofs explain the good behavior of certain parameters when using Montgomery or Edwards curves in the setting of the elliptic curve method ECM for integer factorization. The main cryptographic quantum protocols are key distribution schemes, in which two parties generate a shared random secret string.

We deduce a relation between this modular form and translates of the modular form They are tailored to hardware implementation and they allow computations to be parallelized, while The heart of the algorithm is the evaluation of modular functions in several arguments.


Using a slight modification of an algorithm computing the Euclidean minimum, we give new examples of number fields with norm-Euclidean ideal classes. We prove a full global Jacquet-Langlands correspondence between GL n and cordigs algebras over global fields of non zero characteristic.

The goal of this article is to construct explicitly a p-adic family of representations which are dihedral representationsto construct their associated phi,Gamma -modules by writing down explicit matrices for phi and for the action of Gamma, and finally to determine which of these are It seems to have been assumed forrigs explicit Applying numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached.

Using Dwork’s theory, we prove a broad generalisation of his famous p-adic formal congruences theorem. We set carefully the general In particular, we computed the representations attached to a newform with non-rational but of course The originality of this exposition is that it is a straight application of a remark written by We give an asymptotic formula for the quadratic total variation of the sequence of fractional parts of the quotients of a positive real number by the consecutive natural numbers.

Roth initiated the study of irregularities of distribution of binary sequences relative to arithmetic progressions and since that numerous papers have been written on this subject. We study the Euclidean property for totally indefinite quaternion fields. We continue our investigation of E-operators, in particular their connection with G-operators; these differential operators are fundamental in understanding the dio-phantine properties of Siegel’s Hyperbolqiue and G-functions.