The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
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DOI: 10.1112/s0010437x21007351
Abstract: In this paper, we investigate the distribution of the maximum of partial sums of families of $m$-periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in… read more here.
Keywords: distribution maximum; sums kloosterman; kloosterman sums; partial sums ... See more keywords
On the Distribution of the Maximum k-Degrees of the Binomial Random Graph
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DOI: 10.1134/s1064562418070268
Abstract: For the maximum number Δn of common neighbors of k vertices in the random graph G(n, p), there exist functions an and σn such that $$\frac{\Delta_n - a_n}{\sigma_n}$$Δn−anσn converges in distribution to a random variable… read more here.
Keywords: distribution maximum; maximum degrees; degrees binomial; binomial random ... See more keywords