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Journal of Number Theory
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Randomness of character sums modulo m

Randomness of character sums modulo \(m\)
Authors: Lamzouri, Youness; Zaharescu, Alexandru;

Randomness of character sums modulo m

Abstract

Using a probabilistic model, based on random walks on the additive group $\mathbb{Z}/m\mathbb{Z}$, we prove that the values of certain real character sums are uniformly distributed in residue classes modulo $m$.

16 pages, submitted

Keywords

Character sums, Algebra and Number Theory, Distribution in residue classes, Sums of independent random variables; random walks, Mathematics - Number Theory, Random walks on finite groups, random walks on finite groups, Probability (math.PR), character sums, distribution in residue classes, Estimates on character sums, Sequences (mod \(m\)), FOS: Mathematics, Number Theory (math.NT), Mathematics - Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
hybrid