2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.NT2005★ 2 cited
Statistics of lattice points in thin annuli for generic lattices
Igor Wigman
We study the statistical properties of the counting function of lattice points inside thin annuli. By a conjecture of Bleher and Lebowitz, if the width shrinks to zero, but the are…
math.NT2004★ 1 cited
The distribution of lattice points in elliptic annuli
Igor Wigman
Let be the number of lattice points in a thin elliptical annuli. We assume the aspect ratio of the ellipse is transcendental and Diophantine in a strong sense (this h…
math.NT2003
Counting Singular Matrices with Primitive Row Vectors
Igor Wigman
We solve an asymptotic problem in the geometry of numbers, where we count the number of singular matrices where row vectors are primitive and of length at most T. Witho…