Stephen Lester

activity

20162023

most citedPoisson spacing statistics for lattice points on circles

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2023

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- $R$ disc by its area is $O (R^{1/2 + o (1)})$ . One source of support for…

math.NT2021★ 1 cited

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.

math.NT2016

An effective universality theorem for the Riemann zeta-function

Youness Lamzouri, Stephen Lester, Maksym Radziwill

Let $0 < r < 1/4$ , and $f$ be a non-vanishing continuous function in $∣ z ∣ \leq r$ , that is analytic in the interior. Voronin's universality theorem asserts that translates of the Rieman…