Large deviation estimates of Selberg’s central limit theorem and applications

<p>For V &sim; &alpha; log log T with 0 &lt; &alpha; &lt; 2, we prove 1 T meas{t &isin; [T, 2T] : log |&zeta;(1/2 + it)| &gt; V } � 1 &radic; log log T e &minus;V 2/ log log T . This improves prior results of Soundararajan and of Harper on the large devi...

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Bibliographic Details
Main Authors: Arguin, L-P, Bailey, E
Format: Journal article
Language:English
Published: Oxford University Press 2023