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. 2035–2082DOI 10.4171/OWR/2013/35