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Consecutive Large Gaps in Sequences Defined by Multiplicative Constraints

Published online by Cambridge University Press:  20 November 2018

Emre Alkan  and
Alexandru Zaharescu
Emre Alkan
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. e-mail: zaharesc@math.uiuc.edu
Alexandru Zaharescu
Affiliation:
Department of Mathematics, Koc University, 34450 Sariyer, Istanbul, Turkey e-mail: ealkan@ku.edu.tr
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Abstract

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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

11N2511B05B-free numbersconsecutive gaps
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 2 , 01 June 2008 , pp. 172 - 181
Copyright
Copyright © Canadian Mathematical Society 2008

References

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