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According to Wikipedia , Hermanus Johannes Joseph te Riele is a Dutch mathematician at CWI in Amsterdam with a specialization in computational number theory. He is known 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 Mertens conjecture with Andrew Odlyzko, and for factoring large numbers of world record size. In 1987, he found a new upper bound for π − Li.
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1980 1990 2000 2010 0 50 100 150 200 250 300 350 400 450 500 Published Works Factorization of a 768-Bit RSA Modulus (2010) Factorization of RSA-140 Using the Number Field Sieve (1999) Factorization of a 512-Bit RSA Modulus (2000) Algorithms and applications on vector and parallel computers (1987) (73)Factoring with the quadratic sieve on large vector computers (1989) A Comparative Study of Algorithms for Computing Continued Fractions of Algebraic Numbers (1996) Factoring Integers with Large-Prime Variations of the Quadratic Sieve (1996) Aspects of Computational Science (1995) (14)FACTORIZATIONS OF a n ± 1, 13 a < 100 (1992) (12)On solving the Diophantine equation ³+³+³= on a vector computer (1993) Computations concerning the conjecture of Mertens. (1979) The proportional representation problem in the Second Chamber: an approach via minimal distances (1978) ON CONSECUTIVE INTEGERS OF THE FORM ax (7)Proceedings of the European Congress of Mathematics (2010) (5)Iteration of number-theoretic functions (1983) (5)Apportionment in Theory and Practice (2010) (2)Aliquot Cycles of Repdigits (2011) On some conjectural inequalities and their consequences (2005) (2)Update 1 to: factorizations of an±1, 13≤a<100 (1994) (2)Applications of Supercomputers in Mathematics (1989) An investigation of data reuse on the Cray S-MP system 500 (1994) (1)Further Results on Unitary Aliquot Sequences. (1978) Tables of the First 15,000 Zeros of the Riemann Zeta Function to 28 Significant Figures, and Related Quantities. (1980) On the History of the Function $$ M\left( \chi \right)/\sqrt \chi $$ Since Stieltjes (1993) Zeta � s � � 0 , � s , 0 �� (2013) (0)Number Theory Elementary Number Theory (2016) (0)Unitary Aliquot Sequences. (1978) Reportrapport Factorization of a 512--bit Rsa Modulus Factorization of a 5122bit Rsa Modulus (0)On the history of the function $M(x)/sqrt x$ since Stieltjes (1991) (0)On the size of solutions of the inequality cP ( ax + b ) < cj > ( ax ) (2005) (0)On the size of solutions of the inequality ø (ax+b) < ø (ax) (2001) Grootschalig rekenen in de getaltheorie (2013) (0)Computational sieving applied to some classical number-theoretic problems (1998) Fair representation: Meeting the ideal of one man, one vote: Michel L. BALINSKI and H. Peyton YOUNG Yale University Press, New Haven, 1982, xi + 191 pages, £21.00 (1984) Mathematical aspects of discrete tomography (2001) (0)Algebra and control, natural partners (2001) (0)Mertens' conjecture disproved : research announcement (1983) (0)Computational number theory and data security (MAS2.2) (1997) (0)Pushing the factoring boundary to 768 bits (2008) (0)Factorizations of $ a ^ n $ + 1, 13 < a < 100 : update 2 (1996) (0)A note on the solvability of the diophantine equation $1^n + 2^n + ... + m^n = G(m+1)^n$ (1975) (0)Factorizations of Cunningham numbers with bases 13 to 99 (2010) (0)More Papers This paper list is powered by the following services:
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