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. 1843–1920DOI 10.4171/OWR/2009/33