A Local-Global Principle for Densities

  • Bjorn Poonen
  • Michael Stoll
Part of the Mathematics and Its Applications book series (MAIA, volume 467)


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


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    Ekedahl, T., An infinite version of the Chinese remainder theorem, Comment. Math. Univ. St. Paul. 40 (1991), no. 1, 53–59.MathSciNetGoogle Scholar
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    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.Google Scholar
  3. [Pst]
    Poonen, B. and Stoll, M., The Cassels—Tate pairing on polarized abelian varieties, preprint, 1998.Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Bjorn Poonen
    • 1
  • Michael Stoll
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Mathematisches InstitutUniversität DüsseldorfDüsseldorfGermany

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