Research output: Contribution to journal › Article › peer-review

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

Research output: Contribution to journal › Article › peer-review

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

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

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

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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",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

month = feb,

doi = "10.1090/proc/15231",

language = "English",

volume = "149",

pages = "569--571",

journal = "Proceedings of the American Mathematical Society",

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publisher = "American Mathematical Society",

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T1 - A remark on sets with few distances in rd

AU - Petrov, Fedor

AU - Pohoata, Cosmin

N1 - Publisher Copyright: © 2020 American Mathematical Society Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

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.

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