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131 lines
4.4 KiB
131 lines
4.4 KiB
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@ARTICLE{71,
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author = "Arnold Sch{\"o}nhage and Volker Strassen",
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title = "Schnelle Multiplikation gro{\ss}er Zahlen",
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journal = "Computing {\bf 7}",
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year = 1971,
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pages = "281--292"}
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@ARTICLE{76a,
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author = "Richard P. Brent",
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title = "The complexity of multiple-precision arithmetic",
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journal = "Complexity of Computational Problem Solving",
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editor = " R. P. Brent, R. S. Anderssen",
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publisher = "University of Queensland Press",
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year = "1976"}
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@ARTICLE{76b,
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author = "Richard P. Brent",
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title = "Fast multiple-precision evaluation of elementary functions",
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journal = "Journal of the ACM {\bf 23}",
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year = "1976",
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pages = "242--251"}
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@ARTICLE{76c,
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author = "Eugene Salamin",
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title = "Computation of {$\pi$} using arithmetic-geometric mean",
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journal = "Mathematics of Computation {\bf 30}",
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year = "1976",
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pages = "565--570"}
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@ARTICLE{80,
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author = "Richard P. Brent and Edwin M. McMillan",
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title = "Some new algorithms for high-precision computation of Euler's constant",
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journal = "Mathematics of Computation {\bf 34}",
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year = "1980",
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pages = "305--312"}
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@BOOK{87,
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author = "Jonathan M. Borwein and Peter B. Borwein",
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title = "Pi and the AGM",
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publisher = "Wiley",
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year = "1987"}
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@ARTICLE{91,
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author = "E. A. Karatsuba",
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title = "Fast evaluation of transcendental functions",
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journal = "Probl. Peredachi Inform. \bf{27}",
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year = "1991",
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pages = "76--99"}
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@ARTICLE{91b,
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author = "E. A. Karatsuba",
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title = "On fast computation of transcendental functions",
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journal = "Soviet Math. Dokl. \bf{43}",
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year = "1991",
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pages = "693--694"}
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@ARTICLE{93,
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author = "E. A. Karatsuba",
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title = "Fast evaluation of $\zeta(3)$",
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journal = "Probl. Peredachi Inform. \bf{29}",
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year = "1993",
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pages = "68--73"}
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@TECHREPORT{95,
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author = "Thomas Papanikolaou and Ingrid Biehl and Johannes Buchmann",
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title = "{\sf LiDIA}: a library for computational number theory",
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institution = "Universit{\"a}t des Saarlandes",
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type = "{SFB} 124 report",
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year = "1995"}
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@UNPUBLISHED{95b,
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author = "Henri Cohen and C. Batut and Dominique Bernardi and M. Olivier",
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title = "{GP/PARI} calculator -- Version 1.39.03",
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note = "Available via anonymous FTP from {\tt ftp://megrez.math.u-bordeaux.fr}",
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year = "1995"}
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@ARTICLE{95c,
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author = "E. A. Karatsuba",
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title = "Fast calculation of the Riemann zeta function $\zeta(s)$ for integer values of the argument $s$",
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journal = "Probl. Inform. Transm. \bf{31}",
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year = "1995",
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pages = "353--362"}
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@UNPUBLISHED{96a,
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author = "Bruno Haible",
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title = "{CLN}, a class library for numbers",
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note = "Available via anonymous FTP from {\tt ftp://ftp.santafe.edu/pub/gnu/cln.tar.gz}",
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year = "1996"}
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@UNPUBLISHED{96c,
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author = "Theodor Amdeberhan and Doron Zeilberger",
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title = "Acceleration of hypergeometric series via the WZ method",
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note = "To appear in: Electronic Journal of Combinatorics, Wilf Festschrift Volume"}
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@UNPUBLISHED{96d,
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author = "Simon Plouffe",
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title = "{ISC}: Inverse Symbolic Calculator",
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note = "Tables of records of computation, {\tt http://www.cecm.sfu.ca/projects/ISC/records2.html}"}
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@INPROCEEDINGS{96e,
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author = "Richard P. Brent and Alf {van der Poorten} and Hermann {te Riele}",
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title = "A comparative study of algorithms for computing continued fractions
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of algebraic numbers",
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booktitle = "H. Cohen (editor), Algorithmic Number Theory: Second International Symposium, ANTS-II",
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publisher = "Springer Verlag",
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pages = "37--49",
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year = "1996"}
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@PhDTHESIS{97,
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AUTHOR = "Thomas Papanikolaou",
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TITLE = "Entwurf und Entwicklung einer objektorientierten Bibliothek
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f{\"u}r algorithmische Zahlentheorie",
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TYPE = "{PhD Thesis}",
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INSTITUTION = "Universit{\"a}t des Saarlandes",
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YEAR = "1997"
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}
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@Manual{97b,
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TITLE = "{\sf LiDIA 1.3} -- a library for computational number theory",
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AUTHOR = "{\sf LiDIA}-Group",
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ORGANIZATION = "Technische Universit{\"a}t Darmstadt",
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NOTE = "Available via anonymous FTP from {\tt ftp://ftp.informatik.tu-darmstadt.de /pub/TI/systems/LiDIA} or via WWW from {\tt http://www.informatik.tu-darmstadt.de/TI/LiDIA}",
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YEAR = "1997"
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}
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@UNPUBLISHED{98,
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author = "Thomas Papanikolaou",
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title = "Homepage",
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note = "{\tt http://www.math.u-bordeaux.fr/\~{}papanik}"}
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