S. Lester

activity

20152020

collaborators

4 papers

math.NT2020

On the distribution of lattice points on hyperbolic circles

Dimitrios Chatzakos, Par Kurlberg, Stephen Lester +1

We study the fine distribution of lattice points lying on expanding circles in the hyperbolic plane $H$ . The angles of lattice points arising from the orbit of the modular…

math.NT2020

Quantum variance for dihedral Maass forms

Bingrong Huang, Stephen Lester

We establish an asymptotic formula for the weighted quantum variance of dihedral Maass forms on $Γ_{0} (D) \ H$ in the large eigenvalue limit, for certain fixed $D$ .…

math.NT2019

Signs of Fourier coefficients of half-integral weight modular forms

Stephen Lester, Maksym Radziwiłł

Let $g$ be a Hecke cusp form of half-integral weight, level $4$ and belonging to Kohnen's plus subspace. Let $c (n)$ denote the $n$ th Fourier coefficient of $g$ , normalized so that…

math.NT2015

On the variance of sums of divisor functions in short intervals

Stephen Lester

Given a positive integer $n$ the $k$ -fold divisor function $d_{k} (n)$ equals the number of ordered $k$ -tuples of positive integers whose product equals $n$ . In this article we study…