Oberwolfach Reports

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Volume 6, Issue 3, 2009, pp. 1843–1920
DOI: 10.4171/OWR/2009/33

Published online: 2010-06-30

Explicit Methods in Number Theory

Karim Belabas[1], Hendrik W. Lenstra, Jr.[2] and Don B. Zagier[3]

(1) Université de Bordeaux I, Talence, France
(2) University of Leiden, Netherlands
(3) Max-Planck-Institut für Mathematik, Bonn, Germany

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.

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Belabas Karim, Lenstra, Jr. Hendrik, Zagier Don: Explicit Methods in Number Theory. Oberwolfach Rep. 6 (2009), 1843-1920. doi: 10.4171/OWR/2009/33