Explicit Methods in Number Theory

  • Karim Belabas

    Université de Bordeaux I, Talence, France
  • Bjorn Poonen

    Massachusetts Institute of Technology, Cambridge, United States
  • Don B. Zagier

    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.

Cite this article

Karim Belabas, Bjorn Poonen, Don B. Zagier, Explicit Methods in Number Theory. Oberwolfach Rep. 10 (2013), no. 3, pp. 2035–2082

DOI 10.4171/OWR/2013/35