Berry-Esseen type estimates for nonconventional sums

2015/03/25 by Yeor Hafouta, Yuri Kifer, Hafouta, Yeor +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analytic Number Theory Research #FOS: Mathematics #Probability (math.PR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1503.07558

openalex publication_date 2015/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain Berry-Esseen type estimates for "nonconventional" expressions of the form ξ_N=\frac 1√ N∑_n=1^N(F(X(q₁(n)),...,X(q_ℓ(n)))- F)

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