Arak's inequalities for the generalized arithmetic progressions

DOI10.1007/s10958-018-3708-1zbMath1386.60081OpenAlexW2789723226MaRDI QIDQ1746406

Andrei Yu. Zaitsev

Publication date: 25 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3708-1

zbMATH Keywords

arithmetic progressionsconcentration functionsArak inequalities

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Arithmetic progressions (11B25)

Cites Work

• New applications of Arak's inequalities to the Littlewood-Offord problem
• Estimates for the concentration functions in the Littlewood-Offord problem
• John-type theorems for generalized arithmetic progressions and iterated sumsets
• Arak's inequalities for concentration functions and the Littlewood-Offord problem
• Two Uniform Limit Theorems for Sums of Independent Random Variables
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