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Home » Science » Math » Number_Theory

Computational


Algorithmic, or Computational, Number Theory studies algorithms for performing number theoretic calculations such as highest common factor, factorisation or testing for primality.


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Algorithm Design Manual - Number Theoretic Algorithms - A chapter from "The Algorithm Design Manual" by Steven S. Skiena.
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Basics of Computational Number Theory - Notes and Javascript illustrations by Robert Campbell.
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CLINT - Hugh Montgomery's Computational Laboratories in Number Theory. TeX files and Pascal source code.
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Computational Number Theory - Lecture notes by Robert Campbell, December 1997.
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Implementations of Extended LLL - Links and notes by Wilberd van der Kallen.
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Visible Euclidean Algorithm - Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
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Suggested Readings in Algorithmic Number Theory - Provided by the organizers of the MSRI Fall 2000 research program.
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The LLL Algorithm - Papers on the LLL algorithm and its applications collected by François Koeune.
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Computational Projects in Number Theory - Interesting problems, usually requiring extensive verifications or enumerations, to occupy the idle CPU time of workstations and personal computers. Compiled by Tomás Oliveira e Silva.
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Algorithmic Number Theory - Notes by Al Sethuraman.
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Some Number Records - Connected with divisibility and factoring.
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Future Directions in Algorithmic Number Theory - Some of the conjectures and open problems motivated by the "PRIMES is in P" papers, compiled at the AIM.
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LLL Page - Maintained by Keith Matthews. Papers, examples, pseudocode.
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Articles in this category:

  • Computational Philanthropy - The World Community Grid - Have you ever wondered what your computer does when you're not there to provide it with stimulation? On Windows, it runs a process called the 'System Idle Process'. Doesn't sound very intellectually challenging does it? As far as an intellectual chal...


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