Large deviations of sums of random variables
نویسندگان
چکیده
In this paper, we investigate the large deviations of sums weighted random variables that are approximately independent, generalizing and improving some results Montgomery Odlyzko. We motivated by examples arising from number theory, including sequences pit, χ(p), χd(p), λf (p), Klq(a − n, b), where p ranges over primes, t varies in a interval, χ among all characters modulo q, χd quadratic attached to fundamental discriminants |d| ≤ x, (n) Fourier coefficients holomorphic cusp forms f (a large) weight k for full modular group, Klq(a, b) normalized Kloosterman prime a, b vary (
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ژورنال
عنوان ژورنال: Lithuanian Mathematical Journal
سال: 2021
ISSN: ['1573-8825', '0363-1672']
DOI: https://doi.org/10.1007/s10986-021-09530-z