Divisors of Bernoulli Sums |
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Authors: | Michel Weber |
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Affiliation: | (1) U.F.R. de Mathématique (IRMA), Université Louis-Pasteur et C.N.R.S., 7 rue René Descartes, F-67084 Strasbourg Cedex, France |
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Abstract: | Let where are independent Bernoulli random variables. In relation with the divisor problem, we evaluate the almost sure asymptotic order of the sums , where and is a sequence of positive integers. Received: May 23, 2007. Revised: June 8, 2007. |
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Keywords: | Primary 11M06 Secondary 11M99, 11A25, 60G50 |
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