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

Online resources:

Corrigendum. Canad. Math. Bull. DOI:10.4153/CMB-2010-002-2

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