A remark on sets with few distances in rd › Научные исследования в СПбГУ

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A remark on sets with few distances in r^d. / Petrov, Fedor; Pohoata, Cosmin.

в: Proceedings of the American Mathematical Society, Том 149, № 2, 02.2021, стр. 569-571.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Petrov, F & Pohoata, C 2021, 'A remark on sets with few distances in r^d', Proceedings of the American Mathematical Society, Том. 149, № 2, стр. 569-571. https://doi.org/10.1090/proc/15231

APA

Petrov, F., & Pohoata, C. (2021). A remark on sets with few distances in r^d. Proceedings of the American Mathematical Society, 149(2), 569-571. https://doi.org/10.1090/proc/15231

Vancouver

Petrov F, Pohoata C. A remark on sets with few distances in r^d. Proceedings of the American Mathematical Society. 2021 Февр.;149(2):569-571. https://doi.org/10.1090/proc/15231

Author

Petrov, Fedor ; Pohoata, Cosmin. / A remark on sets with few distances in r^d. в: Proceedings of the American Mathematical Society. 2021 ; Том 149, № 2. стр. 569-571.

BibTeX

@article{f8cb3e2f71904b6b97982538f4a84642,

title = "A remark on sets with few distances in rd",

abstract = "A celebrated theorem due to Bannai-Bannai-Stanton says that if A is a set of points in Rd, which determines s distinct distances, then (equation Presented). In this note, we give a new simple proof of this result by combining Sylvester's Law of Inertia for quadratic forms with the proof of the so-called Croot-Lev-Pach Lemma from additive combinatorics.",

author = "Fedor Petrov and Cosmin Pohoata",

year = "2021",

month = feb,

doi = "10.1090/proc/15231",

language = "English",

volume = "149",

pages = "569--571",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

RIS

TY - JOUR

T1 - A remark on sets with few distances in rd

AU - Petrov, Fedor

AU - Pohoata, Cosmin

PY - 2021/2

Y1 - 2021/2

N2 - A celebrated theorem due to Bannai-Bannai-Stanton says that if A is a set of points in Rd, which determines s distinct distances, then (equation Presented). In this note, we give a new simple proof of this result by combining Sylvester's Law of Inertia for quadratic forms with the proof of the so-called Croot-Lev-Pach Lemma from additive combinatorics.

AB - A celebrated theorem due to Bannai-Bannai-Stanton says that if A is a set of points in Rd, which determines s distinct distances, then (equation Presented). In this note, we give a new simple proof of this result by combining Sylvester's Law of Inertia for quadratic forms with the proof of the so-called Croot-Lev-Pach Lemma from additive combinatorics.

UR - http://www.scopus.com/inward/record.url?scp=85100020525&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/87c1a928-8a5d-3f19-bca1-f1f088c9516d/

U2 - 10.1090/proc/15231

DO - 10.1090/proc/15231

M3 - Article

AN - SCOPUS:85100020525

VL - 149

SP - 569

EP - 571

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -

ID: 75247408