Extended Fibonacci numbers and polynomials with probability applications.
Extended GCD and Hermite normal form algorithms via lattice basis reduction.
Extending a recent result of Santos on partitions into odd parts.
Extension aux nombres premiers complexes des théorèmes de M. Tchebicheff
Extension du théorème de Fermat sur les nombres polygones
Extension d'un théorème de Pólya-Cantor à des séries rationnelles en variables non commutatives
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.
Extension of classical sequences to negative integers
We give a method to extend Bell exponential polynomials to negative indices. This generalizes many results of this type such as the extension to negative indices of Stirling numbers or of Bernoulli numbers.
Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial
Given a multivariate polynomial with integral coefficients verifying an hypothesis of analytic regularity (and satisfying ), we determine the maximal domain of meromorphy of the Euler product and the natural boundary is precisely described when it exists. In this way we extend a well known result for one variable polynomials due to Estermann from 1928. As an application, we calculate the natural boundary of the multivariate Euler products associated to a family of toric varieties.
Extension of semiclean rings
This paper aims at the study of the notions of periodic, UU and semiclean properties in various context of commutative rings such as trivial ring extensions, amalgamations and pullbacks. The results obtained provide new original classes of rings subject to various ring theoretic properties.
Extensions à points de ramification donnés (en russe)
Extensions à points de ramification donnés (résumé français)
Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
Extensions algébriques et formes quadratiques
Extensions cycliques de degré sur
Extensions cycliques de degré , non ramifiées d’un corps quadratiques sur
Extensions cycliques de degré de corps de nombres -réguliers
We determine all cyclic extensions of prime degree over a -regular number field containing the -roots of unity which are also -regular. We classify these extensions according to the ramification index of the wild place in and to the -valuation of the relative class number (which is the quotient of the ordinary class numbers of and ). We study the case where the is odd prime, since the even case was studien by R. Berger. Our genus theory methods rely essentially on G. Gras...
Extensions cycliques non ramifiées
Extensions de Lie et groupes d'automorphismes de corps locaux
Extensions de quelques théorèmes de densité