@string{INRIA =	"Institut National de Recherche en Informatique et en
  				  Automatique"}
@string{SIAMNA = "SIAM Journal on Numerical Analysis"}

@Book{AbSt73,
  author =    "Milton Abramowitz and Irene A. Stegun",
  title =    "Handbook of Mathematical Functions",
  publisher =    "Dover",
  year =    "1973",
  note = "\url{http://members.fortunecity.com/aands/toc.htm}"
}

@Article{Brent78,
  author =       {Richard P. Brent},
  title =        {A {F}ortran Multiple-Precision Arithmetic Package},
  journal =      toms,
  year =         1978,
  volume =       4,
  number =       1,
  pages =        {57--70}
}

@Book{Higham02,
  author =	 {Nicholas J. Higham},
  title = 	 {Accuracy and Stability of Numerical Algorithms},
  publisher = 	 {SIAM},
  year = 	 2002,
  edition =	 {2nd}
}

@TechReport{Jeandel00,
  author = 	 {Emmanuel Jeandel},
  title = 	 {{\'E}valuation rapide de fonctions hyperg\'eom\'etriques},
  institution =  INRIA,
  year = 	 2000,
  type =	 {Rapport technique},
  number =	 242,
  month =	 jul,
  note =	 {17 pages, \url{http://www.inria.fr/rrrt/rt-0242.html}}
}

@Article{BrMc80,
  author = 	 {R. P. Brent and E. M. McMillan},
  title = 	 {Some New Algorithms for High-Precision Computation of
                  {E}uler's Constant},
  journal = 	 "Mathematics of Computation",
  year = 	 1980,
  volume =	 34,
  number =	 149,
  pages =	 {305--312}
}

@Book{BoBo98,
  author =	 {J. M. Borwein and P. B. Borwein},
  title = 	 {Pi and the {AGM}: A Study in Analytic Number Theory and
                  Computational Complexity},
  publisher = 	 {Wiley},
  year = 	 1998
}

@Misc{DeHi02,
  author =	 {James Demmel and Yozo Hida},
  title =	 {Accurate floating point summation},
  howpublished = {\url{http://www.cs.berkeley.edu/~demmel/AccurateSummation.ps}},
  month =	 may,
  year =	 2002
}

@Book{ScGrVe94,
  author =	 {A. Sch\"onhage and A. F. W. Grotefeld and E. Vetter},
  title = 	 {Fast Algorithms: A Multitape {T}uring Machine Implementation},
  publisher = 	 {BI Wissenschaftverlag},
  year = 	 1994
}

@Misc{GoSe04,
  author =	 {Xavier Gourdon and Pascal Sebah},
  title =	 {The logarithmic Constant: $\log 2$},
  month =	 jan,
  year =	 2004,
  url =         {http://numbers.computation.free.fr/Constants/constants.html}
}

@PhdThesis{Pugh04,
  author = 	 {Glendon Ralph Pugh},
  title = 	 {An Analysis of the {Lanczos} Gamma Approximation},
  school = 	 {University of British Columbia},
  year = 	 2004,
  note =	 {\url{http://oldmill.uchicago.edu/~wilder/Code/gamma/docs/Pugh.pdf}}
}

@Article{Spouge94,
  author = 	 {John L. Spouge},
  title = 	 {Computation of the gamma, digamma, and trigamma functions},
  journal = 	 SIAMNA,
  year = 	 1994,
  volume =	 31,
  number =	 3,
  pages =	 {931--944}
}

@Misc{Borwein95,
  author =	 {P. Borwein},
  title =	 {An Efficient Algorithm for the {R}iemann Zeta Function},
  month =	 jan,
  year =	 1995,
  note =	 {9 pages. Preprint available at \url{http://eprints.cecm.sfu.ca/archive/00000107/}}
}

@PhdThesis{Graillat05,
  author = 	 {Stef Graillat},
  title = 	 {Fiabilit\'e des algorithmes num\'eriques~: pseudosolutions
                  structur\'ees et pr\'ecision},
  school = 	 {Universit\'e de Perpignan Via Domitia},
  year = 	 2005
}

@Article{HuAb86,
  author = 	 {T. E. Hull and A. Abrham},
  title = 	 {Variable Precision Exponential Function},
  journal = 	 toms,
  year = 	 1986,
  volume =	 12,
  number =	 2,
  pages =	 {79--91}
}

@Article{Jones84,
  author = 	 {Christopher B. Jones},
  title = 	 {A Significance Rule for Multiple-Precision Arithmetic},
  journal = 	 toms,
  year = 	 1984,
  volume =	 10,
  number =	 1,
  pages =	 {97--107}
}

@TechReport{PeRe06,
author      = {Y.-F. S. P\'etermann and Jean-Luc R\'emy},
title = {Arbitrary Precision Error Analysis for computing $\zeta(s)$ with
         the {C}ohen-{O}livier algorithm: Complete description of the real case
         and preliminary report on the general case},
year        = 2006,
institution = {INRIA},
number      = 5852,
type        = {Research Report},
url         = {http://www.inria.fr/rrrt/rr-5852.html},
}

@Book{Temme96,
  author =	 {Nico M. Temme},
  title = 	 {Special Functions. An Introduction to the Classical
                  Functions of Mathematical Physics},
  publisher = 	 {John Wiley \& Sons, Inc.},
  year = 	 1996
}