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number theory", institution = "Universit{\"a}t des Saarlandes", type = "{SFB} 124 report", year = "1995"} @UNPUBLISHED{95b, author = "Henri Cohen and C. Batut and Dominique Bernardi and M. Olivier", title = "{GP/PARI} calculator -- Version 1.39.03", note = "Available via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 \bf{31}", year = "1995", pages = "353--362"} @UNPUBLISHED{96a, author = "Bruno Haible", title = "{CLN}, a class library for numbers", note = "Available via anonymous FTP from {\tt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