19 citations · 55 across the 19 of their papers we have counts for
23 papers
The variance of the number of lattice points in narrow sectors
Stephen Lester, Ezra Waxman, Nadav Yesha
We study the variance of the number of lattice points in smoothed narrow sectors, where the average is taken over the position of the sectors. There are three regimes corresponding…
On the supremum of random cusp forms
Bingrong Huang, Stephen Lester, Igor Wigman +1
A random ensemble of cusp forms for the full modular group is introduced. For a weight- cusp form, restricted to a compact subdomain of the modular surface, the true order of ma…
The hyperbolic circle problem over Heegner points
Dimitrios Chatzakos, Giacomo Cherubini, Stephen Lester +1
For the full modular group, we obtain a logarithmic improvement on Selberg's long-standing bound for the error term of the counting function in the hyperbolic circle problem over H…
Mass equidistribution for Saito-Kurokawa lifts
Jesse Jääsaari, Stephen Lester, Abhishek Saha
Let be a holomorphic cuspidal Hecke eigenform for of weight that is a Saito--Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), w…
Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles
Stephen Lester, Igor Wigman
Hardy conjectured that the error term arising from approximating the number of lattice points lying in a radius- disc by its area is . One source of support for…
Poisson spacing statistics for lattice points on circles
Pär Kurlberg, Stephen Lester
We show that along a density one subsequence of admissible radii, the nearest neighbor spacing between lattice points on circles is Poissonian.