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Computational investigations of the Prouhet-Tarry-Escott Problem |
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| Authors: | Peter Borwein Petr Lisonek Colin Percival. |
| Affiliation: | Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada ; Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada ; Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada |
| 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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