Prof. Dr. Jens Franke
professor
Mathematics
Hausdorff Center for Mathematics
Germany
Biography
Automorphic forms Homological Algebra Algorithmic algebraic and analytic number theory 1986 PhD, University of Jena 1986 - 1988 Postdoc, Moscow State University, Russia 1988 - 1989 Postdoc, Weierstrass Institute for Applied Analysis and Stochastics, Berlin 1989 - 1989 Postdoc, Max Planck Institute, Bonn 1989 - 1991 Postdoc, Institute for Advanced Study, Princeton, NJ, USA 1991 - 1992 Postdoc, Max Planck Institute, Bonn Since 1992 Professor (C3), University of Bonn
Research Interest
Research Projects and Activities Implementations of the Number Field Sieve and of elliptic curve primality proving Algorithmic applications to the Weil explicit formula, in particular to the calculation of the prime counting function
Publications
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Thorsten Kleinjung, Kazumaro Aoki, Jens Franke, Arjen K. Lenstra, Emmanuel Thomé, Joppe W. Bos, Pierrick Gaudry, Alexander Kruppa, Peter L. Montgomery, Dag Arne Osvik, Herman te Riele, Andrey Timofeev and Paul Zimmermann Factorization of a 768-bit RSA modulus
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J. Büthe, Jens Franke, Alexander Jost and Thorsten Kleinjung Some applications of the Weil-Barner explicit formula Math. Nachr., 286(5-6):536--549 2013 DOI: 10.1002/mana.201100218
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Jens Franke, Thorsten Kleinjung, Jan Büthe and Alexander Jost A practical analytic method for calculating π(x) Math. Comp., 86(308):2889--2909 2017 DOI: 10.1090/mcom/3038
