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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

   

 

Computational investigations of the Prouhet-Tarry-Escott Problem


Authors: Peter Borwein, Petr Lisonek and Colin Percival
Journal: Math. Comp. 72 (2003), 2063-2070
MSC (2000): Primary 11D72, 11Y50; Secondary 11P05
Published electronically: December 18, 2002
MathSciNet review: 1986822
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Abstract | References | Similar Articles | Additional Information

Abstract: We describe a method for searching for ideal symmetric solutions to the Prouhet-Tarry-Escott Problem. We report results of extensive searches for solutions of sizes up to 12. We found two solutions of size 10 that are smaller by two orders of magnitude than the solution found by A. Letac in the 1940s, which was the smallest size 10 solution known before our search.


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Additional Information

Peter Borwein
Affiliation: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada
Email: pborwein@cecm.sfu.ca

Petr Lisonek
Affiliation: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada
Email: lisonek@cecm.sfu.ca

Colin Percival
Affiliation: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada
Address at time of publication: Wadham College, Oxford University, Oxford, England
Email: cperciva@sfu.ca

DOI: http://dx.doi.org/10.1090/S0025-5718-02-01504-1
PII: S 0025-5718(02)01504-1
Received by editor(s): November 9, 2001
Received by editor(s) in revised form: March 25, 2002
Published electronically: December 18, 2002
Additional Notes: Research presented in this paper was partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and partially by the National Centre of Excellence MITACS
Article copyright: © Copyright 2002 by the authors