Large deviation estimates of Selberg’s central limit theorem and applications
<p>For V ∼ α log log T with 0 < α < 2, we prove 1 T meas{t ∈ [T, 2T] : log |ζ(1/2 + it)| > V } � 1 √ log log T e −V 2/ log log T . This improves prior results of Soundararajan and of Harper on the large devi...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
Oxford University Press
2023
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