### 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.

Original language | English |
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Pages (from-to) | 258-262 |

Number of pages | 5 |

Journal | Journal of Mathematical Sciences (United States) |

Volume | 224 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Jul 2017 |

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### Scopus subject areas

- Statistics and Probability
- Mathematics(all)
- Applied Mathematics

### Cite this

*Journal of Mathematical Sciences (United States)*,

*224*(2), 258-262. https://doi.org/10.1007/s10958-017-3411-7

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*Journal of Mathematical Sciences (United States)*, vol. 224, no. 2, pp. 258-262. https://doi.org/10.1007/s10958-017-3411-7

**A Set of 12 Numbers is Not Determined by the Set of its 4-Sums.** / Isomurodov, J. E.; Kokhas, K. P.

Research output

TY - JOUR

T1 - A Set of 12 Numbers is Not Determined by the Set of its 4-Sums

AU - Isomurodov, J. E.

AU - Kokhas, K. P.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85019751137&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3411-7

DO - 10.1007/s10958-017-3411-7

M3 - Article

AN - SCOPUS:85019751137

VL - 224

SP - 258

EP - 262

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -