Oberwolfach Reports

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Volume 10, Issue 3, 2013, pp. 2035–2082
DOI: 10.4171/OWR/2013/35

Published online: 2014-06-01

Explicit Methods in Number Theory

Karim Belabas[1], Bjorn Poonen[2] and Don B. Zagier[3]

(1) Université de Bordeaux I, Talence, France
(2) Massachusetts Institute of Technology, Cambridge, United States
(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 effectiveness in rational points on curves and especially on modular curves, modularity, L-functions, and many other topics.

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Belabas Karim, Poonen Bjorn, Zagier Don: Explicit Methods in Number Theory. Oberwolfach Rep. 10 (2013), 2035-2082. doi: 10.4171/OWR/2013/35