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# Consecutive Large Gaps in Sequences Defined by Multiplicative Constraints

Published:2008-06-01
Printed: Jun 2008
• Emre Alkan
• Alexandru Zaharescu
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## Abstract

In this paper we obtain quantitative results on the occurrence of consecutive large gaps between $B$-free numbers, and consecutive large gaps between nonzero Fourier coefficients of a class of newforms without complex multiplication.
 Keywords: $B$-free numbers, consecutive gaps
 MSC Classifications: 11N25 - Distribution of integers with specified multiplicative constraints 11B05 - Density, gaps, topology
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