4 citations
6 papers
Unramified 2-extensions of totally imaginary number fields and 2-adic analytic groups
Christian Maire
- Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal unramified pro-2 extension of K. By comparing cup-products in {é}tale cohomology o…
Analytic lie extensions of number fields with cyclic fixed points and tame ramification
Farshid Hajir, Christian Maire
- Let p be a prime number and K an algebraic number field. What is the arithmetic structure of Galois extensions L/K having p-adic analytic Galois group = Gal(L/K)? The celebra…
Roger Apéry: humour at the service of a free and original thinking on constructive mathematics
Henri Lombardi, Stefan Neuwirth
This article is an invitation to read a famous text of Roger Ap{é}ry, "Math{é}matique constructive", published in the book "Penser les math{é}matiques: s{é}minaire de philosophie e…
On M-functions associated with modular forms
Philippe Lebacque, Alexey Zykin
Let be a primitive cusp form of weight and level let be a Dirichlet character of conductor coprime with and let denote either $\…
High order expansions for renewal functions and applications to ruin theory
Clément Dombry, Landy Rabehasaina
A high order expansion of the renewal function is provided under the assumption that the inter-renewal time distribution is light tailed with finite moment generating function g on…
A clustering tool for nucleotide sequences using Laplacian Eigenmaps and Gaussian Mixture Models
Marine Bruneau, Thierry Mottet, Serge Moulin +4
We propose a new procedure for clustering nucleotide sequences based on the "Laplacian Eigenmaps" and Gaussian Mixture modelling. This proposal is then applied to a set of 100 DNA…