Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes

One can easily show (see Section 6.1 below) that several integral polynomials of one variable are jointly intersective if and only if they are all divisible by a single

Our method relies on Riemann Existence Theorem, applied to con- struct certain covers of the projective line with suitable ramification conditions.. Though this method works only

— In Remark 5.4 below, we shall use (2.3) above to see that when a piecewise generalized polynomial function h is continuous, each A i in Definition 2.1 can automatically be taken to

Walsh, on différences of polynomials interpolating in the roots ofunity and in the origin, is extended to différences oj rational functions interpolating in more gênerai point

Transorthogonality for a sequence of polynomials on R d has been recently introduced in order to characterize the reference probability measures, which are multivariate distributions

We introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the q-Bernstein basis proposed by G.M.. Phillips to generalize classical

22 The aim of this paper is to relate the theory of ϕ-modules over a finite field, which is semi-linear algebra, with the theory of skew polynomials, and give some applications

As a consequence, we obtain a local uniformization theorem for valuations of rank 1 centered on an equicharacteristic quasi-excellent local domain satisfying some inductive