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The least common multiple of a quadratic sequence

Part of: Multiplicative number theory

Published online by Cambridge University Press:  13 December 2010

Javier Cilleruelo
Javier Cilleruelo*
Affiliation:
Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain (email: [email protected])
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Abstract

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For any irreducible quadratic polynomial f(x) in ℤ[x], we obtain the estimate log l.c.m.(f(1),…,f(n))=nlog n+Bn+o(n), where B is a constant depending on f.

Keywords

least common multiplequadratic sequencesequidistribution of roots of quadratic congruences

MSC classification

Secondary: 11N37: Asymptotic results on arithmetic functions
Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 4 , July 2011 , pp. 1129 - 1150
Copyright
Copyright © Foundation Compositio Mathematica 2010

References

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