Points entiers au voisinage d'une courbe plane de classe Cⁿ
Polar lattices from the point of view of nuclear spaces.
The aim of this survey article is to show certain questions concerning nuclear spaces and linear operators in normed spaces lead to questions from geometry of numbers.
Primitive lattice points in a thin strip along the boundary of a large convex planar domain
Primitive lattice points in convex planar domains
Primitive lattice points in planar domains
Primitive Lattice Points in Rational Ellipses and Relates Arithmetic Functions.
Primitive lattice points inside an ellipse
Let be a positive definite binary quadratic form with arbitrary real coefficients. For large real , one may ask for the number of primitive lattice points (integer points with ) in the ellipse disc , in particular, for the remainder term in the asymptotics for . While upper bounds for depend on zero-free regions of the zeta-function, and thus, in most published results, on the Riemann Hypothesis, the present paper deals with a lower estimate. It is proved that the absolute value or...
Problème du cercle et harmoniques sphériques
Prolongements analytiques d’une classe de fonctions zêta des hauteurs et applications
Nous montrons dans la première partie l’existence d’un prolongement méromorphe à tout le plan complexe et explicitons les propriétés et quelques conséquences, d’une large classe de séries zêta des hauteurs associées à l’espace projectif