Stephen Lester
Queen Mary University of London
33 Papers
126 Citations
Stephen Lester is an academic researcher from Queen Mary University of London. The author has contributed to research in topics: Riemann hypothesis & Riemann zeta function. The author has an hindex of 8, co-authored 32 publications. Previous affiliations of Stephen Lester include Royal Institute of Technology & King's College London.
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Papers
Discrepancy bounds for the distribution of the riemann zeta-function and applications
TL;DR: In this paper, the distribution of the Riemann zeta-function on the line Re(s) = σ was investigated and an upper bound on the discrepancy between the distribution and that of its random model was obtained.
An effective universality theorem for the Riemann zeta function
TL;DR: In this paper, the first effective version of Voronin's theorem was obtained, by showing that in the rate of convergence one can save a small power of the logarithm of T. This was refined by Bagchi who showed that the measure of such t∈[0,T] is (c(e)+o(1))T, for all but at most countably many e>0.
The distribution of the logarithmic derivative of the riemann zeta-function
TL;DR: In this article, the authors investigated the convergence of the logarithmic derivative of the Riemann zeta-function on the line Re(s) = 1/2 to the Gaussian distribution in the complex plane.
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Discrepancy bounds for the distribution of the Riemann zeta-function and applications
TL;DR: In this article, an upper bound on the discrepancy between the distribution of the Riemann zeta function and that of its random model was obtained for the critical strip of the critical line.
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Signs of Fourier coefficients of half-integral weight modular forms
TL;DR: In this article, it was shown that the sign of the nth Fourier coefficient of a Hecke cusp form of half-integral weight can be determined at fundamental discriminants n by establishing that the square of the coefficient is proportional to the central value of a certain L-function.