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    Cilleruelo, Javier Rué, Juanjo Šarka, Paulius and Zumalacárregui, Ana 2014. The least common multiple of random sets of positive integers. Journal of Number Theory, Vol. 144, p. 92.


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The least common multiple of a quadratic sequence

  • Javier Cilleruelo (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X10005191
  • Published online: 13 December 2010
Abstract
Abstract

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.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[Bat02]P. Bateman , A limit involving least common multiples: 10797, Amer. Math. Monthly 109 (2002), 393394.

[DFI95]W. Duke , J. Friedlander and H. Iwaniec , Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. (2) 141 (1995), 423441.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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