Home > Research > Publications & Outputs > Solving equations in dense Sidon sets

Electronic data

  • Dense_Sidon_Sets_revision1

    Rights statement: https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/solving-equations-in-dense-sidon-sets/7864AFD00B6F50C02BF6FCEB8195CDB2 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1), pp 25-34 2022, © 2022 Cambridge University Press.

    Accepted author manuscript, 271 KB, PDF document

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

Links

Text available via DOI:

View graph of relations

Solving equations in dense Sidon sets

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Solving equations in dense Sidon sets. / Prendiville, Sean.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 173, No. 1, 19.07.2022, p. 25-34.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Prendiville, S 2022, 'Solving equations in dense Sidon sets', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 173, no. 1, pp. 25-34. https://doi.org/10.1017/S0305004121000402

APA

Prendiville, S. (2022). Solving equations in dense Sidon sets. Mathematical Proceedings of the Cambridge Philosophical Society, 173(1), 25-34. https://doi.org/10.1017/S0305004121000402

Vancouver

Prendiville S. Solving equations in dense Sidon sets. Mathematical Proceedings of the Cambridge Philosophical Society. 2022 Jul 19;173(1):25-34. Epub 2021 May 19. doi: 10.1017/S0305004121000402

Author

Prendiville, Sean. / Solving equations in dense Sidon sets. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2022 ; Vol. 173, No. 1. pp. 25-34.

Bibtex

@article{64dceed8081a418f8fda87135d5693f4,
title = "Solving equations in dense Sidon sets",
abstract = "We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao [CFSZ20] on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds. ",
author = "Sean Prendiville",
note = "https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/solving-equations-in-dense-sidon-sets/7864AFD00B6F50C02BF6FCEB8195CDB2 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1), pp 25-34 2022, {\textcopyright} 2022 Cambridge University Press.",
year = "2022",
month = jul,
day = "19",
doi = "10.1017/S0305004121000402",
language = "English",
volume = "173",
pages = "25--34",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Solving equations in dense Sidon sets

AU - Prendiville, Sean

N1 - https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/solving-equations-in-dense-sidon-sets/7864AFD00B6F50C02BF6FCEB8195CDB2 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1), pp 25-34 2022, © 2022 Cambridge University Press.

PY - 2022/7/19

Y1 - 2022/7/19

N2 - We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao [CFSZ20] on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds.

AB - We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao [CFSZ20] on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds.

U2 - 10.1017/S0305004121000402

DO - 10.1017/S0305004121000402

M3 - Journal article

AN - SCOPUS:85106446585

VL - 173

SP - 25

EP - 34

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -