Published August 25, 2011
| Version Submitted
Discussion Paper
Open
Large deviations in Selberg's central limit theorem
Creators
Abstract
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.
Additional Information
The author is partially supported by a NSERC PGS-D award.Attached Files
Submitted - 1108.5092.pdf
Files
1108.5092.pdf
Additional details
Identifiers
- Eprint ID
- 87125
- Resolver ID
- CaltechAUTHORS:20180614-141729646
Related works
- Describes
- http://arxiv.org/abs/1108.5092 (URL)
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
Dates
- Created
-
2018-06-14Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field