Large deviations in Selberg's central limit theorem

Details Large deviations in Selberg's central limit theorem Large deviations in Selberg's central limit theorem

2011-08-25

arxiv.org/abs/1108.5092v1

Mathematics

Number Theory

9 pages

Scientific paper

Following Selberg it is known that uniformly for V << (logloglog T)^{1/2 - \epsilon} the measure of those t \in [T;2T] for which log |\zeta(1/2 + it)| > V*((1/2)loglog T)^{1/2} is approximately T times the probability that a standard Gaussian random variable takes on values greater than V. We extend the range of V to V << (loglog T)^{1/10 - \epsilon}. We also speculate on the size of the largest V for which this normal approximation can hold and on the correct approximation beyond that point.

Affiliated with

Also associated with

No associations

Rating

Large deviations in Selberg's central limit theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large deviations in Selberg's central limit theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large deviations in Selberg's central limit theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319217