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- W4299546163 abstract "We prove mod-Gaussian convergence for a Dirichlet polynomial which approximates $operatorname{Im}logzeta(1/2+it)$. 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 $operatorname{Im}logzeta(1/2+it)$ satisfies a large deviation principle on the critical line. Results about the moments of the Riemann zeta-function follow." @default.
- W4299546163 created "2022-10-02" @default.
- W4299546163 creator A5073666637 @default.
- W4299546163 date "2012-01-25" @default.
- W4299546163 modified "2023-09-25" @default.
- W4299546163 title "On the mod-Gaussian convergence of a sum over primes" @default.
- W4299546163 doi "https://doi.org/10.48550/arxiv.1201.5295" @default.
- W4299546163 hasPublicationYear "2012" @default.
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