DEGREES

• PhD in Computer Science, University of Saarland, Saarbrücken, 1997.
  Thesis advisor: Johannes Buchmann
• Diploma in Computer Science, University of Saarland, Saarbrücken, 1993

CURRENT RESEARCH

• Design and implementation of the LiDIA system.
• Fast algorithms for multiprecision evaluation of special functions and constants using binary splitting
  
  
  • Click here to get the ISC announcement of the record computation of Euler's constant to 1,000,000 decimals with LiDIA and Bruno Haible's CLN package.
    
  • Click here to get the GNU gzip-ed output of the computation of 475,006 partial quotients and the 475,006th convergent of the continued fraction of Euler's constant using a LiDIA version of a program by H.J.J. te Riele, CWI Amsterdam. This program implements the ideas presented in
    
    
    • Richard P. Brent, Alfred J. van der Poorten and Herman J.J. te Riele
      A comparative study of algorithms for computing continued fractions of algebraic numbers , pp. 37-49 in: H. Cohen (editor), Algorithmic Number Theory: Second International Symposium, ANTS-II, Talence, France, 18-23.05.1996, Springer, Berlin etc., 1996.
    
    A Magma version of this program is available by email to herman@cwi.nl. The LiDIA version is also available.
    
  • Click here for further record computations done with LiDIA.
  
  
• Design of generic algorithms for CAS.

PUBLICATIONS

The following documents are available as DVI and PS files. The PS versions are compressed bei either the UNIX compress (suffix .Z) or the GNU gzip command (suffix .gz). The LaTeX sources are also available on demand.

1. Thomas Papanikolaou
   libF - Eine lange Gleitpunktarithmetik
   Master thesis, Universität des Saarlandes, 1993
   
   
2. Ingrid Biehl, Johannes Buchmann, Thomas Papanikolaou
   LiDIA - A library for computational number theory
   Technical Report, SFB 04/95, Universität des Saarlandes, 1994
   
   
3. Bruno Haible, Thomas Papanikolaou
   Fast multiprecision evaluation of series of rational numbers
   Technical Report No. TI-7/97, Darmstadt University of Technology, 1997
   
   • PS file, Gzip-ed .
   • PS file, Compress-ed .
   • Sources, tar-ed, Compress-ed .
   • Sources, tar-ed, Gzip-ed .
   (a preliminary version of this report has been presented in the 3rd International IMACS Conference on Applications of Computer Algebra in Hawai )
   
   
4. Sacha Demetrio, Kurt Huwig, Thomas Papanikolaou
   An Introduction To lc
   Technical Report No. TI-xx/97, Darmstadt University of Technology, 1997, to appear
   
   • HTML.
   • PS file, Gzip-ed .
   • PS file, Compress-ed .
   
   
5. Thomas Papanikolaou
   Technical documentation using a C++ to LaTeX formatting program
   Technical Report No. TI-17/97, Darmstadt University of Technology, 1997
   
   • PS file, Gzip-ed .
   • PS file, Compress-ed .
   
   
6. Thomas Papanikolaou, Jörg Zayer
   ALGO.STY - a LaTeX style for algorithm editing
   Technical Report No. TI-18/97, Darmstadt University of Technology, 1997
   
   • PS file, Gzip-ed .
   • PS file, Compress-ed .

MY FAVORITE LINKS

• Number Theory Web (Australian Site) There is also an American Site
• CAIS (in german)
• CAIN (Computer Algebra Information Network)
• SymbolicNet
• ISC (Inverse Symbolic Calculator)
• Steven Finch's Unsolved Mathematics Problems Page
• Eric W. Weisstein's Treasure Trove of Mathematics

SOFTWARE AND DOCUMENTATION

• LiDIA-1.4a.tgz - Pre Beta SNAPSHOT. Take a peek at the snapshot of our pre-beta release, and see what you think. Remember, that although this release has been succesfully tested on Sparc/Solaris, Intel/Linux and HP/HPUX, it is still under development. Feel free to contact us for more information.
  
  
• LC-1.3a Manual - the user documentation of LiDIA's C++ Interpreter in HTML.
  
  
• LC-1.3a - Pre Beta SNAPSHOT.
  
  • sparc8-sun-sunos4.1.4
  • sparc8-sun-solaris2.5.1
  • i586-unknown-linux2.0.30
  • i686-unknown-linux2.0.30 (optimized for pentium pro)
  • hppa1.1-hp-hpux9.05
  • hppa1.1-hp-hpux10.20
  • mips-sgi-irix5.2