Multidimensional covering systems of congruences
Mycielski-Sierpiński conjecture and Korec-Znám result
Natural exactly covering systems of congruences
Necessary condition for the existence of an incongruent covering system with odd moduli II
Necessary conditions for distinct covering systems with square-free moduli
Nombres de racines d’un polynôme entier modulo
Nous montrons que l’ensemble des racines modulo une puissance d’un nombre premier d’un polynôme à coefficients entiers de degré est une union d’au plus progressions arithmétiques de modules assez grands. Nous en déduisons une majoration du nombre de ses racines dans un intervalle réel court.
Nonvanishing of Fourier coefficients of newforms in progressions
Nouveau théorème sur les progressions arithmétiques
Number of prime divisors in a product of consecutive integers
Old and new necessary and sufficient conditions on in order that be a covering system
On a problem of P. Erdos and S. Stein
On a sum involving powers of reciprocals of an arithmetical progression.
On a variant of van der Waerden's theorem.
On a variation of the coin exchange problem for arithmetic progressions.
On arithmetic progressions having only few different prime factors in comparison with their length
On arithmetic progressions of equal lengthsand equal products of terms
On arithmetic progressions on Edwards curves
Let and a,q ∈ ℚ. Denote by the set of rational numbers d such that a, a + q, ..., a + (m-1)q form an arithmetic progression in the Edwards curve . We study the set and we parametrize it by the rational points of an algebraic curve.
On arithmetic progressions on elliptic curves.
On disjoint arithmetic progressions
On families of weakly dependent random variables
Let be a family of random independent k-element subsets of [n] = 1,2,...,n and let denote a family of ℓ-element subsets of [n] such that the event that S belongs to depends only on the edges of contained in S. Then, the edges of are ’weakly dependent’, say, the events that two given subsets S and T are in are independent for vast majority of pairs S and T. In the paper we present some results on the structure of weakly dependent families of subsets obtained in this way. We also list...