A remark on a previous paper by Bredihin and Linnik

S. Uchiyama

Displaying similar documents to “A remark on a previous paper by Bredihin and Linnik”

Prime-like sequences

Hugh Montgomery (1988)

Acta Arithmetica

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Certain lacunary cosine series are recurrent

D. Grubb, Charles Moore (1994)

Studia Mathematica

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Let the coefficients of a lacunary cosine series be bounded and not square-summable. Then the partial sums of the series are recurrent.

Tail and moment estimates for sums of independent random vectors with logarithmically concave tails

Rafał Latała (1996)

Studia Mathematica

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Let $X_{i}$ be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable $X = \sum v_{i} X_{i}$ , where $v_{i}$ are vectors of some Banach space. We derive approximate formulas for the tail and moments of ∥X∥. The estimates are exact up to some universal constant and they extend results of S. J. Dilworth and S. J. Montgomery-Smith [1] for the Rademacher sequence and E. D. Gluskin and S. Kwapień [2] for real coefficients.