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• W2081680299 abstract "We prove mod-Gaussian convergence for a Dirichlet polynomial which approximates ({mathrm{Im }}log zeta (1/2+it)). This Dirichlet polynomial is sufficiently long to deduce Selberg’s central limit theorem with an explicit error term. Moreover, assuming the Riemann hypothesis, we apply the theory of the Riemann zeta-function to extend this mod-Gaussian convergence to the complex plane. From this we obtain that ({mathrm{Im }}log zeta (1/2+it)) satisfies a large deviation principle on the critical line. Results about the moments of the Riemann zeta-function follow." @default.
• W2081680299 created "2016-06-24" @default.
• W2081680299 creator A5073666637 @default.
• W2081680299 date "2013-09-22" @default.
• W2081680299 modified "2023-09-22" @default.
• W2081680299 title "On the mod-Gaussian convergence of a sum over primes" @default.
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• W2081680299 doi "https://doi.org/10.1007/s00209-013-1216-z" @default.
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