4 papers · 1 filter
Limit laws in the lattice problem. V. The case of analytic and stricly convex sets
Julien Trevisan
We study the error of the number of points of a unimodular lattice that fall in a strictly convex and analytic set having the origin and that is dilated by a factor . The aim is…
Limit laws in the lattice problem. IV. The special case of
Julien Trevisan
We study the error of the number of points of the lattice that fall into a dilated and translated hypercube centred around and whose axis are parallel to the a…
Limit laws in the lattice problem. III. Return to the case of boxes
Julien Trevisan
We study the error of the number of points of a lattice that belong to a rectangle, centred at , whose axes are parallel to the coordinate axes, dilated by a factor and…
Lattice counting problem
Julien Trevisan
We study the error of the number of unimodular lattice points that fall into a dilated and translated parallelogram. By using an article from Skriganov, we see that this error can…