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Volume 8, Issue 3, 2011, pp. 1971–2044
DOI: 10.4171/OWR/2011/35
Explicit Methods in Number Theory
Organized by: Karim Belabas (1), Hendrik W. Lenstra, Jr. (2) and Don B. Zagier (3)
(1) Laboratoire d'Algorithmique Arithmetique, Université de Bordeaux I et C.N.R.S., 351, cours de la Libération, F-33405, TALENCE CEDEX, FRANCE(2) Mathematics Institute, University of Leiden, Post Bus 9512, 2300, R.A. LEIDEN, NETHERLANDS
(3) Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, BONN, GERMANY
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes the Sato-Tate conjecure, Langlands programme, function fields, L-functions and many other topics.
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