Cohomologie des groupes et corps d'invariants multiplicatifs.
Cohomologie galoisienne : progrès et problèmes
Cohomologies de Dwork, I
Cohomology of purely inseparable Galois coverings.
Combinatorial Nullstellensatz approach to polynomial expansion
Applying techniques similar to Combinatorial Nullstellensatz we prove a lower estimate of |f(A,B)| for finite subsets A, B of a field, and a polynomial f(x,y) of the form f(x,y) = g(x) + yh(x), where the degree of g is greater than that of h.
Comments on the height reducing property
A complex number α is said to satisfy the height reducing property if there is a finite subset, say F, of the ring ℤ of the rational integers such that ℤ[α] = F[α]. This property has been considered by several authors, especially in contexts related to self affine tilings and expansions of real numbers in non-integer bases. We prove that a number satisfying the height reducing property, is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus...
Commutative parasemifields finitely generated as semirings
Commutative Rings and Binomial Coefficients.
Commuting polynomials and self-similarity.
Comparison of L¹- and -norms of squares of polynomials
Compatibilité de la suite exacte de Poitou-Tate aux mesures de Haar
Complete determination of the number of Galois points for a smooth plane curve
Completely normal elements in some finite abelian extensions
We present some completely normal elements in the maximal real subfields of cyclotomic fields over the field of rational numbers, relying on the criterion for normal element developed in [Jung H.Y., Koo J.K., Shin D.H., Normal bases of ray class fields over imaginary quadratic fields, Math. Z., 2012, 271(1–2), 109–116]. And, we further find completely normal elements in certain abelian extensions of modular function fields in terms of Siegel functions.
Completion of r.t. extensions of local fields (I).
Completion of r.t. extensions of local fields (II)
Complexité et géométrie réelle
Complexity bound of absolute factoring of parametric polynomials.
Comportement local des fonctions continues sur un compact régulier d'un corps local
Composite n-forms and Cauchy kernels.
Composite rational functions expressible with few terms
We consider a rational function which is ‘lacunary’ in the sense that it can be expressed as the ratio of two polynomials (not necessarily coprime) having each at most a given number of terms. Then we look at the possible decompositions , where are rational functions of degree larger than 1. We prove that, apart from certain exceptional cases which we completely describe, the degree of is bounded only in terms of (and we provide explicit bounds). This supports and quantifies the intuitive...