Jonathan Bober, Leo Goldmakher
Published 2011-10-01, updated 2012-04-16Version 2
We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal magnitude of character sums normalized by the square root of the modulus, finding almost double exponential decay in the tail of this distribution.
Comments: 16 pages, 1 figure, new version with corrections
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