Explicit Methods in Number Theory
Hendrik W. Lenstra, Jr.
University of Leiden, NetherlandsDon B. Zagier
Max-Planck-Institut für Mathematik, Bonn, GermanyKarim Belabas
Université de Bordeaux I, Talence, France

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