Ramsey problems in additive number theory
Random sets and additive bases in .
Random fields on the adele ring and Wilson's renormalization group
Random generators and normal numbers.
Random Liouville functions and normal sets
Random matrices, magic squares and matching polynomials.
Random matrix theory and the Fourier coefficients of half-integral weight forms.
Random Sums Related To Prime Divisors Of An Integer
Random Thue and Fermat equations
We consider Thue equations of the form , and assuming the truth of the abc-conjecture, we show that almost all locally soluble Thue equations of degree at least three violate the Hasse principle. A similar conclusion holds true for Fermat equations of degree at least six.
Random walks on infinite self-similar graphs.
Rang de courbes elliptiques avec groupe de torsion non trivial
On construit des courbes elliptiques sur de rang au moins 3, avec un sous-groupe de torsion non trivial. Par spécialisation, des courbes elliptiques de rang 5 et 6 sur sont obtenues.
Rang des courbes elliptiques et sommes d'exponentielles.
Rang moyen de familles de courbes elliptiques et lois de Sato-Tate.
Rang -adique du groupe des unités d’un corps de nombres
Rang p-adique d'unités et action de groupes.
Range of density measures
We investigate some properties of density measures – finitely additive measures on the set of natural numbers extending asymptotic density. We introduce a class of density measures, which is defined using cluster points of the sequence as well as cluster points of some other similar sequences. We obtain range of possible values of density measures for any subset of . Our description of this range simplifies the description of Bhashkara Rao and Bhashkara Rao [Bhaskara Rao, K. P. S., Bhaskara Rao,...
Rank forms, closed zones and laminae
For a given lattice, we establish an equivalence between closed zones for the corresponding Voronoï polytope, suitable hyperplane sections of the corresponding Delaunay partition, and rank quadratic forms which are extreme rays for the corresponding -type domain.
Rank computations for the congruent number elliptic curves.
Rank frequencies for quadratic twists of elliptic curves.
Rank generating functions as weakly holomorphic modular forms