Directory of Equal Sums of Like Powers Resources

Home > Science > Math > Number Theory > Diophantine Equations > Equal Sums of Like Powers

Resources in This Category

• A Collection of Algebraic Identities

  http://sites.google.com/site/tpiezas/
  A database that includes equal sums of like powers for multi-grade identities up to 10th powers.

• Computing Minimal Equal Sums Of Like Powers

  http://euler.free.fr/
  Jean-Charles Meyrignac's distributed-computing project on equal sums of like powers and the place to look for the current status of the problem.

• Equal Sums of Like Powers

  http://euler.free.fr/eslp/
  Chen Shuwen's extensive collection of equal sums of like powers, especially those that are solutions to multigrade equations.

• Equations Involving Sums of Powers

  http://archive.numdam.org/ARCHIVE/CM/CM_1996__102_2/CM_1996__102_2_125_0/CM_1996__102_2_125_0.pdf
  Jerzy Urbanowikz' paper on diophantine equations involving sums of powers with quadratic characters as coefficients.

• Mathematician's Secret Room

  http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
  Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.

• On Equal Sums of Like Powers and Related Problems

  http://www.cs.man.ac.uk/~rizos/EqualSums/
  Classification of problems related to equal sums of like powers.

• Power Page

  http://www.uwgb.edu/dutchs/RECMATH/rmpowers.htm
  Steve Dutch's page about powers of numbers.

• Sortedsums

  http://cr.yp.to/sortedsums.html
  D. J. Bernstein's collection of tools for enumerating small solutions to certain types of equal sums of like powers.

• The Fifth Taxicab Number is 48988659276962496

  http://www.cs.uwaterloo.ca/journals/JIS/wilson10.html
  David W. Wilson's article on his search for the smallest integer that can be expressed as a sum of two positive cubes in 5 distinct ways, up to order of summands.

• Tom's Mathematical Things

  http://tom.womack.net/maths/dissert_abstract.htm
  Dissertation about equal sums of like powers by Tom Womack.

 

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