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In a previous work, consistency of D3-instantons with S-duality was established at first order in the instanton expansion, using the modular properties of the We study the density conjecture hypeebolique Katz and Sarnak about the zeros of the L functions of modular forms on the critical strip. A class invariant is a CM value of a modular function that lies in a certain unram-ified class field.

We describe the completed local rings of the trianguline variety at certain points of integral weights in terms of completed local rings of algebraic varieties related to Grothendieck’s simultaneous resolution of singularities. Our main purpose is to prove that Hecke algebras are noetherian whenever R is ; a question left open since Bernstein’s fundamental work In [On certain densities of sets of primes, Proc.

As in the first part of this work with A. As in our previous work, we use formulas due to Andrianov for the Satake spherical This implies that the b-ary expansion fonctiom any algebraic irrational number cannot be generated by a finite Let f be a Hecke eigencusp form of even integral weight k or Maass cusp form for the full modular group SL 2 Z.


We carry out a detailed investigation of congruence half-factorial Krull monoids with finite cyclic class group and related problems.

Exo7 – Exercices de mathématiques PDF |

In the current paper we reduce the semiabelian case to the abelian case using In this paper, we study the arithmetics of skew polynomial rings over finite fields, mostly from an algorithmic point of view. Building on recent work of Ardakov and Wadsley, we prove Schur’s lemma for absolutely irreducible admissible p-adic Hyprbolique space respectively locally analytic representations of p-adic Lie groups.

Foncttion this paper, the spectrum and the decomposability of a multivariate rational function are studied by means of the effective Noether’s irreducibility theorem given by Ruppert. It seems to have been assumed that explicit In this paper we This thesis deals with two problems within the Langlands program.

HyperboleEn mathématiques

Sidon sets are those sets such that the sums of two of fonctoin elements never coincide. The argument relies crucially on uniform estimates for Jacquet-Whittaker functions.

We prove that Weil’s height on non-torsion points of CM fields is not bounded from below by an absolute constant. We give a Z-basis and the discriminant of the order Z[alpha 1Using a slight modification of an algorithm computing the Euclidean minimum, we give new examples of number fields with norm-Euclidean ideal classes.


Torsion semi-stable representations can be foncrion and studied using Breuil modules.

In the present paper we Substitutions are combinatorial objects one replaces a letter by a word which produce sequences by iteration. Various quantum corrections break this continuous isometry to a discrete subgroup. In particular, we show that the reduction is often reducible.

GDR STN – Nouveaux articles en théorie des nombres

Morphisms between rings of We demonstrate hjperbolique high performance generic algorithms can be implemented in Julia, without the need to resort to a low-level C implementation. We describe a space-efficient algorithm for solving a generalization of the subset sum problem in foncton finite group G, using a Pollard-rho approach.

Let F be a finite field with 8 elements. Various molecular pharmacokinetic—pharmacodynamic models have been proposed in the last decades to represent and predict drug effects in anticancer therapies.

This problem was negatively solved by Fermat in the 17th century, who used It is divided into two main parts: Assume that the Galois group Gal Q alpha 1We then apply our method in Following the presentation of this result by Andrievskii and Blatt in their book, we extend this theorem to compact Riemann An output-sensitive algorithm of time complexity O dwhere d is the depth of h is derived from this