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8 results for tags number-theory x
  • Complex Multiplication (CM)
    The CM software implements the construction of ring class fields of imaginary quadratic number fields and of elliptic curves with complex multiplication via floating point approximations. Additionally it provides an implementation of the fastECPP algorithm for proving primality of integers. It consists of libraries that can be called from within a C program and of executable command line applications. For the implemented algorithms, see A. Enge, The complexity of class polynomial computation via floating point approximations, Mathematics of Computation 78 (266), 2009, pp. 1089–1107.
    Found via https://matheplanet.at/matheplanet/nuke/html/viewtopic.php?topic=266257&post_id=1939590

    See also https://www.multiprecision.org/paridroid/index.html for PariDroid, a port of PARI/GP to Android
    Sun Dec 29 21:50:44 2024 - permalink -
    - https://www.multiprecision.org/cm/index.html
    C lic:GPL3 mathematics number-theory software
  • Surprising connections between number theory and physics
    Interesting site, found via Wikipedia (Voronin's Zeta Universality Theorem)
    Fri Jan 18 13:36:08 2008 - permalink -
    - http://secamlocal.ex.ac.uk/people/staff/mrwatkin/zeta/surprising.htm
    mathematics number-theory physics TODO
  • This directory lists the old pages of new factors from the Cunningham Project.
    Factors of numbers b^n+/-1, together with the names of the researchers and the methods used.
    Tue Jan 16 11:55:54 2007 - permalink -
    - http://homes.cerias.purdue.edu/~ssw/cun/oldp/index.html
    factoring mathematics number-theory TODO
  • AMS Online Books/Factorizations of b^{n}+/- 1, b=2,3,5,6,7,10,11,12 Up to High Powers/conm22
    Could be interesting for my partial factorisation of r1030.
    Mon Jan 8 10:48:50 2007 - permalink -
    - http://www.ams.org/online_bks/conm22/
    book factoring mathematics number-theory web
  • Integer Factorization Source Code (msieve)
    Self-initializing quadratic sieve (SIQS), on a 2GHz Opteron, a 95 digit factorization takes 4 hours, and a 100-digit factorization takes just under 12 hours (possibly more). Public domain library for integer factorization, implementing Pollard-rho, ECM, self-initializing Quadratic Sieve and parts of NFS.
    On 2022-06-21, the original page http://www.boo.net/~jasonp/qs.html is off-line: "All Delmarva Online services have been discontinued.  December 27, 2014"
    With the help of http://web.archive.org/web/20110723030828/http://www.boo.net/~jasonp/qs.html, I could locate the repository https://sourceforge.net/projects/msieve/files/msieve/ which has been updated 2016-11-11. I changed the URL for the bookmark to the sourceforge repository.
    Thu Jan 4 15:19:11 2007 - permalink -
    - https://sourceforge.net/projects/msieve
    factoring mathematics number-theory software
  • A table of prime counts pi(x) to 5e15
    Another table of the prime-counting function pi(x), by Thomas R. Nicely.
    Tue Oct 3 23:25:57 2006 - permalink -
    - http://www.trnicely.net/pi/tabpi.html#Skewes
    Littlewood mathematics number-theory
  • Tables of values of pi(x) and of pi2(x)
    According to Thomas R. Nicely, these are the most extensive tables of the prime-counting function pi(x). There is
    Tue Oct 3 23:22:32 2006 - permalink -
    - http://www.ieeta.pt/~tos/primes.html
    Littlewood mathematics number-theory
  • A Computational Introduction to Number Theory and Algebra
    A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. Available as PDF under a creative commons license and as book from Cambridge University Press. (Recommended by Mark Wooding).
    Mon Sep 25 16:15:06 2006 - permalink -
    - http://shoup.net/ntb/
    algebra book number-theory TODO Wooding
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