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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 $B$-free numbers, consecutive gaps
MSC Classifications: 11N25, 11B05 show english descriptions Distribution of integers with specified multiplicative constraints
Density, gaps, topology
11N25 - Distribution of integers with specified multiplicative constraints
11B05 - Density, gaps, topology
 

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