A Set of 12 Numbers is Not Determined by the Set of its 4-Sums


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Abstract

We present two sets of 12 integers that have the same sets of 4-sums. The proof of the fact that a set of 12 numbers is uniquely determined by the set of its 4-sums published 50 years ago is wrong, and we demonstrate an incorrect calculation in it.

About the authors

J. E. Isomurodov

St. Petersburg State University; ITMO

Email: kpk@arbital.ru
Russian Federation, St. Petersburg

K. P. Kokhas

St. Petersburg State University

Author for correspondence.
Email: kpk@arbital.ru
Russian Federation, St. Petersburg

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