Computational Number Theory at CWI in 1970-1994

Computational Number Theory at CWI in 1970-1994 (1994)

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by H.J.J. te Riele , J. Van De Lune

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@MISC{Riele94computationalnumber,
    author = {H.J.J. te Riele and J. Van De Lune},
    title = {Computational Number Theory at CWI in 1970-1994},
    year = {1994}
}

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Abstract

Citations

2506	A method for obtaining digital signatures and public-key cryptosystems - Rivest, Shamir, et al.
759	A course in computational algebraic number theory, volume 138 of Graduate Texts in Mathematics - Cohen - 1993
553	Factoring Polynomials with Rational Coefficients - Lenstra, Lovàsz - 1982
157	Riemann’s zeta function - Edwards - 2001
138	Elliptic curves and primality proving - Atkin, Morain - 1993
131	The Theory of the Riemann Zeta-Function - Titchmarsh - 1951
108	The development of the number field sieve - Lenstra, Lenstra - 1993
102	On distinguishing prime numbers from composite numbers - Adleman, Pomerance, et al. - 1983
102	Rounding Errors in Algebraic Processes - Wilkinson - 1963
100	Über die Anzahl der Primzahlen unter einer gegebener Grösse - Riemann
69	The multiple polynomial quadratic sieve - Silverman - 1987
51	Factoring by electronic mail - Lenstra, Manasse - 1989
49	The quadratic sieve factoring algorithm - Pomerance - 1985
47	The factorization of the ninth Fermat number - Lenstra, Lenstra, et al. - 1994
45	Almost Periodic Functions - Bohr - 1947
43	Fast algorithms for multiple evaluations of the Riemann zeta function - Odlyzko, Schnhage
42	Applied and Computational Complex Analysis Volume 2 - Henrici - 1977
41	Factoring With Two Large Primes - Lenstra, Manasse - 1994
31	Primality testing and Jacobi sums - Cohen, Lenstra, et al. - 1984
29	More than two-fifths of the zeros of the Riemann zeta-function are on the critical line - Conrey - 1989
29	A pipeline architecture for factoring large integers with the quadratic sieve algorithm - Pomerance, Smith, et al. - 1988
27	Multiprecision translation and execution of Fortran programs - Bailey - 1993
26	Implementation of a new primality test - Cohen, Lenstra - 1987
26	te Riele, Disproof of the Mertens conjecture - Odlyzko, J - 1985
25	Prime Numbers and Computer Methods for Factorization, Birkhäuser - Riesel - 1985
23	On the zeros of the Riemann zeta function in the critical strip - Lune, Diele, et al. - 1986
18	A Fortran Multiple Precision Arithmetic Package - Brent - 1978
14	te Riele, Improved Techniques for Lower Bounds for Odd Perfect - Brent, Cohen, et al. - 1991
14	On the factorization of RSA–120 - Denny, Dodson, et al.
13	Implementing the self-initializing quadratic sieve on a distributed network - Alford, Pomerance
13	On the zeros of the Riemann zeta function in the critical strip - Brent - 1979
13	Théorie des nombres - Kraïtchik - 1922
13	A survey of modern integer factorization algorithms, CWI Quarterly 7 - Montgomery - 1994
12	Neue Herleitung und explizite Restabschätzung der Riemann-Siegel-Formel - Gabcke - 1979
12	On the mean square of the Riemann zeta-function on the critical line - Hafner, Ivić
12	private communication - Odlyzko - 2003
12	Factoring with the quadratic sieve on large vector computers,’’ report NM-R8805 - Riele, Lioen, et al. - 1988
11	te Riele, Factoring integers with large prime variations of the quadratic sieve - Boender, J - 1996
10	Fourier transforms with only real zeros - Newman - 1976
9	The 10 -th Zero of the Riemann Zeta Function and 175 Million of its Neighbors - Odlyzko - 1992
9	Scienti computation on mathematical problems and conjectures - Varga - 1990
8	A Lower Bound for the de Bruijn–Newman Constant II - Norfolk, Ruttan, et al. - 1992
7	Primality proving with cyclotomy - Bosma, Hulst - 1990
7	personal communication - Moews - 1997
7	Analytic computations in number theory - Odlyzko
7	On some approximative Dirichlet-polynomials in the theory of the zeta-function of Riemann, Danske Vid - Turán - 1948
6	Breeding amicable numbers in abundance - Borho, Hoffmann - 1986
6	Lehmer pairs of zeros, the de Bruijn-Newman constant Λ and the Riemann hypothesis - Csordas, Smith, et al. - 1994
6	Status report on factoring (at the Sandia National Laboratories - Davis, Holdridge, et al. - 1985
6	On two conjectures in the theory of numbers - Ingham - 1942