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:
(PNA5) 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

2012 -	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.

All publications (link to repository)