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  1. @ARTICLE{71,
  2. author = "Arnold Sch{\"o}nhage and Volker Strassen",
  3. title = "Schnelle Multiplikation gro{\ss}er Zahlen",
  4. journal = "Computing {\bf 7}",
  5. year = 1971,
  6. pages = "281--292"}
  7. @ARTICLE{76a,
  8. author = "Richard P. Brent",
  9. title = "The complexity of multiple-precision arithmetic",
  10. journal = "Complexity of Computational Problem Solving",
  11. editor = " R. P. Brent, R. S. Anderssen",
  12. publisher = "University of Queensland Press",
  13. year = "1976"}
  14. @ARTICLE{76b,
  15. author = "Richard P. Brent",
  16. title = "Fast multiple-precision evaluation of elementary functions",
  17. journal = "Journal of the ACM {\bf 23}",
  18. year = "1976",
  19. pages = "242--251"}
  20. @ARTICLE{76c,
  21. author = "Eugene Salamin",
  22. title = "Computation of {$\pi$} using arithmetic-geometric mean",
  23. journal = "Mathematics of Computation {\bf 30}",
  24. year = "1976",
  25. pages = "565--570"}
  26. @ARTICLE{80,
  27. author = "Richard P. Brent and Edwin M. McMillan",
  28. title = "Some new algorithms for high-precision computation of Euler's constant",
  29. journal = "Mathematics of Computation {\bf 34}",
  30. year = "1980",
  31. pages = "305--312"}
  32. @BOOK{87,
  33. author = "Jonathan M. Borwein and Peter B. Borwein",
  34. title = "Pi and the AGM",
  35. publisher = "Wiley",
  36. year = "1987"}
  37. @ARTICLE{91,
  38. author = "E. A. Karatsuba",
  39. title = "Fast evaluation of transcendental functions",
  40. journal = "Probl. Peredachi Inform. \bf{27}",
  41. year = "1991",
  42. pages = "76--99"}
  43. @ARTICLE{91b,
  44. author = "E. A. Karatsuba",
  45. title = "On fast computation of transcendental functions",
  46. journal = "Soviet Math. Dokl. \bf{43}",
  47. year = "1991",
  48. pages = "693--694"}
  49. @ARTICLE{93,
  50. author = "E. A. Karatsuba",
  51. title = "Fast evaluation of $\zeta(3)$",
  52. journal = "Probl. Peredachi Inform. \bf{29}",
  53. year = "1993",
  54. pages = "68--73"}
  55. @TECHREPORT{95,
  56. author = "Thomas Papanikolaou and Ingrid Biehl and Johannes Buchmann",
  57. title = "{\sf LiDIA}: a library for computational number theory",
  58. institution = "Universit{\"a}t des Saarlandes",
  59. type = "{SFB} 124 report",
  60. year = "1995"}
  61. @UNPUBLISHED{95b,
  62. author = "Henri Cohen and C. Batut and Dominique Bernardi and M. Olivier",
  63. title = "{GP/PARI} calculator -- Version 1.39.03",
  64. note = "Available via anonymous FTP from {\tt ftp://megrez.math.u-bordeaux.fr}",
  65. year = "1995"}
  66. @ARTICLE{95c,
  67. author = "E. A. Karatsuba",
  68. title = "Fast calculation of the Riemann zeta function $\zeta(s)$ for integer values of the argument $s$",
  69. journal = "Probl. Inform. Transm. \bf{31}",
  70. year = "1995",
  71. pages = "353--362"}
  72. @UNPUBLISHED{96a,
  73. author = "Bruno Haible",
  74. title = "{CLN}, a class library for numbers",
  75. note = "Available via anonymous FTP from {\tt ftp://ftp.santafe.edu/pub/gnu/cln.tar.gz}",
  76. year = "1996"}
  77. @UNPUBLISHED{96c,
  78. author = "Theodor Amdeberhan and Doron Zeilberger",
  79. title = "Acceleration of hypergeometric series via the WZ method",
  80. note = "To appear in: Electronic Journal of Combinatorics, Wilf Festschrift Volume"}
  81. @UNPUBLISHED{96d,
  82. author = "Simon Plouffe",
  83. title = "{ISC}: Inverse Symbolic Calculator",
  84. note = "Tables of records of computation, {\tt http://www.cecm.sfu.ca/projects/ISC/records2.html}"}
  85. @INPROCEEDINGS{96e,
  86. author = "Richard P. Brent and Alf {van der Poorten} and Hermann {te Riele}",
  87. title = "A comparative study of algorithms for computing continued fractions
  88. of algebraic numbers",
  89. booktitle = "H. Cohen (editor), Algorithmic Number Theory: Second International Symposium, ANTS-II",
  90. publisher = "Springer Verlag",
  91. pages = "37--49",
  92. year = "1996"}
  93. @PhDTHESIS{97,
  94. AUTHOR = "Thomas Papanikolaou",
  95. TITLE = "Entwurf und Entwicklung einer objektorientierten Bibliothek
  96. f{\"u}r algorithmische Zahlentheorie",
  97. TYPE = "{PhD Thesis}",
  98. INSTITUTION = "Universit{\"a}t des Saarlandes",
  99. YEAR = "1997"
  100. }
  101. @Manual{97b,
  102. TITLE = "{\sf LiDIA 1.3} -- a library for computational number theory",
  103. AUTHOR = "{\sf LiDIA}-Group",
  104. ORGANIZATION = "Technische Universit{\"a}t Darmstadt",
  105. 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}",
  106. YEAR = "1997"
  107. }
  108. @UNPUBLISHED{98,
  109. author = "Thomas Papanikolaou",
  110. title = "Homepage",
  111. note = "{\tt http://www.math.u-bordeaux.fr/\~{}papanik}"}