1 citations · 1 across the 3 of their papers we have counts for
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Weighted central limit theorems for central values of -functions
Hung M. Bui, Natalie Evans, Stephen Lester +1
We establish a central limit theorem for the central values of Dirichlet -functions with respect to a weighted measure on the set of primitive characters modulo as $q \right…
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 . The angles of lattice points arising from the orbit of the modular…
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 in the large eigenvalue limit, for certain fixed .…
Signs of Fourier coefficients of half-integral weight modular forms
Stephen Lester, Maksym Radziwiłł
Let be a Hecke cusp form of half-integral weight, level and belonging to Kohnen's plus subspace. Let denote the th Fourier coefficient of , normalized so that…
On the variance of sums of divisor functions in short intervals
Stephen Lester
Given a positive integer the -fold divisor function equals the number of ordered -tuples of positive integers whose product equals . In this article we study…