Erratum to the paper: Ideals of homogeneous polynomials and weakly compact approximation property in Banach spaces published in Czech. Math. J. vol. 57 (132), No. 2 (2007), 763–776
Estimates for Soto-Andrade sums.
Étude du problème du logarithme discret dans
Euclidean function fields.
Exact solutions to Waring's problem for finite fields
Explicit constructions of extractors and expanders
Explicit evaluation of certain exponential sums.
Explicit evaluations of some Weil sums
Explicit form for the discrete logarithm over the field
For generator of the multiplicative group of the field , the discrete logarithm of an element of the field to the base , is that integer , . The -ary digits which represent can be described with extremely simple polynomial forms.
Explicit formulas for strong Davenport pairs
Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus
Exponential sums for O¯(2n,q) and their applications
Exponential sums for symplectic groups and their applications
Exponential sums on (Gm)n.
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.
Facteurs communs et torsion en caractéristique non nulle
Le pgcd de quantités de la forme et a été étudié dans différentes situations. Dans la première partie de ce texte nous prouverons que si et appartiennent à , le pgcd en question peut être borné indépendamment de dans de nombreux cas. Ceci répond en particulier à une question de J. Silverman. Dans la deuxième partie nous étudierons un problème analogue dans la situation des modules de Drinfeld.
Factoring polynomials in finite fields: an application of Lang-Weil to a problem in graph theory.
Factorisation sur des polynômes de degré élevé à l’aide d’un monomorphisme
Factorization of irreducible polynomials over a finite field with the substitution for x
Families of nets of low and medium strength.