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A remark on sieving in biased coin convolutions. (English) Zbl 1376.60015

Summary: In this work, we establish a nontrivial level of distribution for densities on \(\{1,\dots, N\}\) obtained by a biased coin convolution. As a consequence of sieving theory, one then derives the expected lower bound for the weight of such densities on sets of almost primes.

MSC:

60B99 Probability theory on algebraic and topological structures
11N36 Applications of sieve methods

References:

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