Explicit Methods in Number Theory

  • Karim Belabas

    Université de Bordeaux I, Talence, France
  • Bjorn Poonen

    Massachusetts Institute of Technology, Cambridge, United States
  • Fernando Rodriguez Villegas

    ICTP, Trieste, Italy
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Abstract

The aim of the series of Oberwolfach meetings on ‘Explicit methods in number theory’ is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory is interpreted broadly, including algebraic and analytic number theory, Galois theory and inverse Galois problems, arithmetic of curves and higher-dimensional varieties, zeta and -functions and their special values, and modular forms and functions.

Cite this article

Karim Belabas, Bjorn Poonen, Fernando Rodriguez Villegas, Explicit Methods in Number Theory. Oberwolfach Rep. 12 (2015), no. 3, pp. 1809–1866

DOI 10.4171/OWR/2015/32