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

J. E. Isomurodov, K. P. Kokhas

Research output

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)258-262
Number of pages5
JournalJournal of Mathematical Sciences (United States)
Volume224
Issue number2
DOIs
Publication statusPublished - 1 Jul 2017

Fingerprint

Integer
Demonstrate

Scopus subject areas

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

Cite this

@article{15290a09432641ba865a2ef7ad1e0f2f,
title = "A Set of 12 Numbers is Not Determined by the Set of its 4-Sums",
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.",
author = "Isomurodov, {J. E.} and Kokhas, {K. P.}",
year = "2017",
month = "7",
day = "1",
doi = "10.1007/s10958-017-3411-7",
language = "English",
volume = "224",
pages = "258--262",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer",
number = "2",

}

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 -