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Document type:
Zeitschriftenaufsatz 
Author(s):
Alpers, A. and R. Tijdeman 
Title:
The Two-Dimensional Prouhet-Tarry-Escott Problem 
Abstract:
In this paper we generalize the Prouhet–Tarry–Escott problem (PTE) to any dimension. The onedimensional PTE problem is the classical PTE problem. We concentrate on the two-dimensional version which asks, given parameters n, k ∈ N, for two different multi-sets {(x1, y1), . . . , (xn, yn)}, {(x1, y1), . . . , (x n, y n)} of points from Z2 such that n i=1 xj i y d−j i = n i=1 xj i yd−j i for all d,j ∈ {0,...,k} with j d. We present parametric solutions for n ∈ {2, 3, 4, 6} with optimal si...    »
 
Journal title:
Journal of Number Theory 
Year:
2007 
Journal issue:
123 
Pages contribution:
403-412 
Reviewed:
ja 
Language:
en 
Publisher:
Elsevier 
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik