Small divisors of Bernoulli sums

DOI10.1016/S0019-3577(07)80023-1zbMath1131.11063OpenAlexW2039243259MaRDI QIDQ2465618

Michel J. G. Weber

Publication date: 7 January 2008

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(07)80023-1

zbMATH Keywords

Bernoulli random variablesdivisorsTheta functionsi.i.d.

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Estimates on exponential sums (11L07) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

Classical and almost sure local limit theorems ⋮ On the strong law of large numbers and additive functions ⋮ Local limit theorems in some random models from number theory

Cites Work

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• A theorem related to Marcinkiewicz-Salem conjecture
• An arithmetical property of Rademacher sums.
• Divisors, spin sums and the functional equation of the zeta-Riemann function
• On the order of magnitude of the divisor function
• Almost sure convergence and square functions of averages of Riemann sums
• A law of the iterated logarithm for arithmetic functions
• Analytic Inequalities

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