JournalsowrVol. 6, No. 3pp. 1843–1920

Explicit Methods in Number Theory

  • Hendrik W. Lenstra, Jr.

    University of Leiden, Netherlands

  • Don B. Zagier

    Max-Planck-Institut für Mathematik, Bonn, Germany

  • Karim Belabas

    Université de Bordeaux I, Talence, France
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Abstract

These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points on curves and higher-dimensional varieties, and aspects of lattice basis reduction.

Cite this article

Hendrik W. Lenstra, Jr., Don B. Zagier, Karim Belabas, Explicit Methods in Number Theory. Oberwolfach Rep. 6 (2009), no. 3, pp. 1843–1920

DOI 10.4171/OWR/2009/33