Full name: Herman te Riele
Formal name: Dr.ir. H.J.J. te Riele
Function: Scientific Staff Member, retired
Email: Herman.te.Riele@cwi.nl
Telephone: +31(0)20 592 4106
Room: M263
Research groups: Cryptology
Formal name: Dr.ir. H.J.J. te Riele
Function: Scientific Staff Member, retired
Email: Herman.te.Riele@cwi.nl
Telephone: +31(0)20 592 4106
Room: M263
Research groups: Cryptology
Research
Herman te Riele is employed as CWI researcher since 1970. His specialities are numerical mathematics and computational number theory, including factorization of large numbers. He is known, a.o., for proving the correctness of the Riemann hypothesis for the first 1,5 billion non-trivial zeros of the Riemann zeta function (with Jan van de Lune and Dik Winter), for disproving the so-called Mertens conjecture (with Andrew Odlyzko), and for factoring large numbers of world record size (with many others). In 1987 he found a new upper bound for sign changes of the function pi(x) − Li(x).
Career
| 2013 | Scientific staff member CR - Cryptology |
| 2012 - 2013 | Faciliteitenovereenkomst PNA5 - Cryptology |
| 2005 - 2011 | Scientific staff member PNA5 - Cryptology |
| 1997 - 2004 | Scientific staff member MAS2 - Scientific Computing and Control Theory |
| 1984 - 1996 | Group leader NW3 - Large-scale computing |
| 1973 - 1987 | Deputy head NW - Numerieke Wiskunde |
| 1972 - 1975 | Head CPP - Consultation and Project Programming Group |
| 1970 - 1971 | Project member RA - Rekenafdeling |
Selected Awards and Honours
| 2011 | Officier in de orde van Oranje Nassau |
Selected Academic Activities
| 2011 | Co-organizer Utrecht, The Netherlands - Wintersymposium of KWG |
| 2008 | Co-organizer Amsterdam, The Netherlands - European Congress of Mathematics - [ECM] |
| 2006 | Co-organizer Berlin, Germany - Matheon Workshop in honour of the 60th birthday of Richard Brent |
| 2006 - 2009 | Secretary European Research Centres on Mathematics - [ERCOM] |
| 2005 - 2010 | Member board of directors Mathematical Research Institute Onderzoekschool |
| 2004 - 2010 | Conference secretary European Congress of Mathematics - [ECM] - Fifth European Congress of Mathematics, Amsterdam, July 14-18, 2008 |
| 2003 - | Archivist Koninklijk Wiskundig Genootschap - [KWG] |
| 2003 - 2007 | Secretary Koninklijk Wiskundig Genootschap - [KWG] |
Selected Publications
| F. Luca, H.J.J. te Riele. $\phi$ and $\sigma$: from Euler to Erd\H os. Nieuw Archief voor Wiskunde 12, 31–36, 2011. |
| J. Korevaar, H.J.J. te Riele. Average prime-pair counting formula. Mathematics of Computation 79, S 0025-5718(09)02312-6, 1209–1229, 2010. |
| T. Kleinjung, K. Aoki, J. Franke, A.K. Lenstra, E. Thomee, J.W. Bos, P. Gaudry, A. Kruppa, P.L. Montgomery, D.A. Osvik, H.J.J. te Riele, A. Timofeev, P. Zimmermann. Factorization of a 768-bit RSA modulus. Proceedings of Advances in Cryptology - CRYPTO 2010 2010, Santa Barbara, CA, USA , 333–350, 2010. |
| H.J.J. te Riele. Cryptografie en supercomputers. De Rekenmeesters -- een toekomstgericht beeld van 25 jaar grootschalig rekenen in Nederland, 188–194, 2009. |
| T. Kotnik, H.J.J. te Riele. The Mertens conjecture revisited. Proceedings of Algorithmic Number Theory Symposium 2006, Lecture Notes in Computer Science 4076, 156–167, 2006. |
| M. García, J.M. Pedersen, H.J.J. te Riele. Amicable pairs : a survey. High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams, 2004. |

