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Solution-free sets for sums of binary forms

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Solution-free sets for sums of binary forms. / Prendiville, Sean.
In: Proceedings of the London Mathematical Society, Vol. 107, No. 2, 01.08.2013, p. 267-302.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Prendiville, S 2013, 'Solution-free sets for sums of binary forms', Proceedings of the London Mathematical Society, vol. 107, no. 2, pp. 267-302. https://doi.org/10.1112/plms/pds083

APA

Prendiville, S. (2013). Solution-free sets for sums of binary forms. Proceedings of the London Mathematical Society, 107(2), 267-302. https://doi.org/10.1112/plms/pds083

Vancouver

Prendiville S. Solution-free sets for sums of binary forms. Proceedings of the London Mathematical Society. 2013 Aug 1;107(2):267-302. doi: 10.1112/plms/pds083

Author

Prendiville, Sean. / Solution-free sets for sums of binary forms. In: Proceedings of the London Mathematical Society. 2013 ; Vol. 107, No. 2. pp. 267-302.

Bibtex

@article{b8e94b54be7c402ca094c471395888b9,
title = "Solution-free sets for sums of binary forms",
abstract = "In this paper, we obtain quantitative estimates for the asymptotic density of subsets of the integer lattice ℤ2 that contain only trivial solutions to an additive equation involving binary forms. In the process we develop an analogue of Vinogradov's mean value theorem applicable to binary forms.",
author = "Sean Prendiville",
year = "2013",
month = aug,
day = "1",
doi = "10.1112/plms/pds083",
language = "English",
volume = "107",
pages = "267--302",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - Solution-free sets for sums of binary forms

AU - Prendiville, Sean

PY - 2013/8/1

Y1 - 2013/8/1

N2 - In this paper, we obtain quantitative estimates for the asymptotic density of subsets of the integer lattice ℤ2 that contain only trivial solutions to an additive equation involving binary forms. In the process we develop an analogue of Vinogradov's mean value theorem applicable to binary forms.

AB - In this paper, we obtain quantitative estimates for the asymptotic density of subsets of the integer lattice ℤ2 that contain only trivial solutions to an additive equation involving binary forms. In the process we develop an analogue of Vinogradov's mean value theorem applicable to binary forms.

U2 - 10.1112/plms/pds083

DO - 10.1112/plms/pds083

M3 - Journal article

VL - 107

SP - 267

EP - 302

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 2

ER -