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The least common multiple of a quadratic sequence

Published online by Cambridge University Press:  13 December 2010

Javier Cilleruelo*
Affiliation:
Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain (email: franciscojavier.cilleruelo@uam.es)
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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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2010

References

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