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A Local-Global Principle for Densities

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Part of the Mathematics and Its Applications book series (MAIA,volume 467)

Abstract

This expository note describes a method for computing densities of subsets of Z n described by infinitely many local conditions.

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References

  1. Ekedahl, T., An infinite version of the Chinese remainder theorem, Comment. Math. Univ. St. Paul. 40 (1991), no. 1, 53–59.

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  2. Hafner, J., Sarnak, P., and Mccurley, K., Relatively prime values of polynomials, A tribute to Emil Grosswald: number theory and related analysis, 437–443, Contemp. Math. 143, Amer. Math. Soc., Providence, RI, 1993.

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  3. Poonen, B. and Stoll, M., The Cassels—Tate pairing on polarized abelian varieties, preprint, 1998.

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© 1999 Kluwer Academic Publishers

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Poonen, B., Stoll, M. (1999). A Local-Global Principle for Densities. In: Ahlgren, S.D., Andrews, G.E., Ono, K. (eds) Topics in Number Theory. Mathematics and Its Applications, vol 467. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0305-3_16

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  • DOI: https://doi.org/10.1007/978-1-4613-0305-3_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7988-1

  • Online ISBN: 978-1-4613-0305-3

  • eBook Packages: Springer Book Archive