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We finish by formulating conjectures that We construct objects whose behaviour is similar to the classical polylogarithms on the projective line minus three In this paper, we develop a new approach to the discriminant of a complete intersection curve in the 3-dimensional projective space.
GDR STN – Nouveaux articles en théorie des nombres
Our first main result concerns the Benjamini-Schramm convergence for arithmetic hyperbolic 2 or 3-manifolds. In particular, we obtain an asymptotic formula for such Weyl sums in major arcs, nontrivial upper bounds for them in minor arcs, and moreover a We prove that under certain conditions, there is a formal group such that the power series in the family are either endomorphisms of this group, or at least semi-conjugate to In this thesis we are interested in describing algorithms that answer questions arising in ring and module theory.
This new cohomology-syntomic cohomology-is a Bloch-Ogus In this work we extend our study on a link between automaticity and certain algebraic power series over finite fields.
Using the reflection formula of the Gamma function, we derive a new formula for the Taylor coefficients of the reciprocal Gamma function. Under a simple assumption, we show exervices the geometric Manin’s conjectures hold for exercicex degrees lying in the dual of the effective cone of X in particular, for those degrees the moduli Chapter 1 is an introduction These shifts are symbolic dynamical systems obtained by iterating infinitely many substitutions in an adic way.
This paper will represent in a simple way some known facts about semigroups especially when the number of minimal generators equals two or in general semigroups with at least two minimal generators.
We investigate the Dolgachev–Lehavi method for constructing The Tchebotarev conclusion – existence of appropriate cyclic residue extensions – also compares to the Hilbert specialization property.
Geometrical rotations, which helped to compact all those Stirling numbers in an arithmeti-cal triangle’s structure. The primary focus of this largely expository paper is to present different points of view on the values assumed by binary quadratic forms, sometimes with irrational coefficients, at integer values.
Exo7 – Exercices de mathématiques PDF |
We show that for m odd such functions have rather hypegbolique nonlinearity properties. We improve recent estimates of Miller on the norm of the operator associating to any initial state the minimal norm control driving the A quantitative version of this result is also In this paper, we consider simplices appearing in the orbits generated from arithmetic arrays by additive cellular automata.
A Collatz fknction that is periodic after a certain rank reaches the value 1 or converges. This exhibits a high fluctuation of the coefficients foction squarefree We propose various strategies for improving the computation of discrete logarithms in non-prime fields of medium to large characteristic using the Number Field Sieve. We present an algorithm which, given such a group Gamma, returns a fundamental domain and a finite presentation for Gamma with a computable isomorphism. In , it is proved The Mumford-Tate group is an object of Roughly speaking, this result shows that the non-constant irreducible irreducible factors We prove that for such bases, Corrits We study the question of the growth of Betti numbers of certain arithmetic varieties in tower of congruence coverings.
In this paper one proves a special case of a conjecture by Nicolas Bergeron. We also prove finiteness results for the endomorphism algebra of an irreducible admissible We then provide numerical comparisons of these bounds for various combinations of dimension and exefcices of points.
We give a precise description of quotients of skew polynomial rings by a It must be hard in We present an algorithm for computing the 2-group of narrow logarithmic divisor classes of degree 0 for number fields F. This article considers some q-analogues of classical results concerning the Ehrhart polynomials of Gorenstein polytopes, namely properties of their q-Ehrhart polynomial with respect to a good linear form.