This article is cited in 1 paper

Some bounds in the construction of Bernoulli-normal sequences of signs

Yu. N. Shakhov

Moscow State (V. I. Lenin) Pedagogical Institute

Abstract: For the case of rational probabilities with prime denominators, a Bernoulli-normal sequence of signs is obtained from a normal sequence by way of some changes of signs. An estimate is made of the quantity of fractional parts of the corresponding exponential function which fall in the given interval.

UDC: 511

Received: 28.01.1970

 English version: Mathematical Notes, 1971, 10:5, 724–730

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