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Large deviations in Selberg's central limit theorem

Radziwiłł, Maksym (2011) Large deviations in Selberg's central limit theorem. . (Unpublished)

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Following Selberg it is known that as T → ∞, [formula] uniformly for Δ ≤ (log log log T)^((1/2) - ε). We extend the range of Δ to Δ « (log log T)^((1/10) - ε). We also speculate on the size of the largest Δ for which the above normal approximation can hold and on the correct approximation beyond this point.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Additional Information:The author is partially supported by a NSERC PGS-D award.
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Classification Code:2010 Mathematics Subject Classification. Primary: 11M06, Secondary: 11M50
Record Number:CaltechAUTHORS:20180614-141729646
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87125
Deposited By: George Porter
Deposited On:14 Jun 2018 21:42
Last Modified:03 Oct 2019 19:52

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