Items where Author is "Prendiville, Sean"

Journal Article

Prendiville, Sean and Peluse, Sarah and Shao, Xuancheng (2024) Bounds in a popular multidimensional nonlinear Roth theorem. Journal of the London Mathematical Society. ISSN 0024-6107 (In Press)

Prendiville, Sean and Peluse, Sarah (2024) Quantitative bounds in the non-linear Roth theorem. Inventiones Mathematicae. ISSN 0020-9910 (In Press)

Prendiville, Sean and Ortega, Miquel (2022) Extremal Sidon sets are Fourier uniform, with applications to partition regularity. Journal de Théorie des Nombres de Bordeaux. ISSN 1246-7405 (In Press)

Prendiville, Sean (2022) Solving equations in dense Sidon sets. Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1). pp. 25-34. ISSN 0305-0041

Peluse, Sarah and Prendiville, Sean (2022) A polylogarithmic bound in the nonlinear Roth theorem. International Mathematics Research Notices, 8. pp. 5658-5684. ISSN 1073-7928

Prendiville, Sean (2021) Counting Monochromatic Solutions to Diagonal Diophantine Equations. Discrete Analysis, 2021: 14. ISSN 2397-3129

Chow, Sam and Lindqvist, Sofia and Prendiville, Sean (2021) Rado's criterion over squares and higher powers. Journal of the European Mathematical Society, 23 (6). pp. 1925-1997. ISSN 1435-9855

Prendiville, Sean and Chapman, Jonathan (2020) On the Ramsey number of the Brauer configuration. Bulletin of the London Mathematical Society, 52 (2). pp. 316-334. ISSN 0024-6093

Prendiville, Sean (2020) Counting monochromatic solutions to diagonal Diophantine equations. arXiv.

Peluse, Sarah and Prendiville, Sean (2019) Quantitative bounds in the non-linear Roth theorem. arXiv.

Prendiville, Sean (2017) Quantitative bounds in the polynomial Szemerédi theorem : The homogeneous case. Discrete Analysis, 2017 (5). pp. 1-34. ISSN 2397-3129

Prendiville, Sean (2017) Four variants of the Fourier-analytic transference principle. Online Journal of Analytic Combinatorics (12). ISSN 1931-3365

Browning, T.D. and Prendiville, Sean (2017) Improvements in Birch's theorem on forms in many variables. Journal für die reine und angewandte Mathematik (Crelle's Journal), 2017 (731). 203–234. ISSN 1435-5345

Prendiville, Sean and Browning, T.D. (2017) A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices, 2017 (7). 2219–2248. ISSN 1073-7928

Prendiville, Sean (2015) Matrix progressions in multidimensional sets of integers. Mathematika, 61 (1). pp. 14-48.

Prendiville, Sean (2013) Solution-free sets for sums of binary forms. Proceedings of the London Mathematical Society, 107 (2). pp. 267-302. ISSN 0024-6115

Parsell, Scott T. and Prendiville, Sean and Wooley, Trevor D. (2013) Near-optimal mean value estimates for multidimensional Weyl sums. Geom. Funct. Anal., 23 (6). 1962–2024.

Book/Report/Proceedings

Nixon, Anthony and Prendiville, Sean (2022) Surveys in Combinatorics 2022. London Mathematical Society Lecture Note Series . Cambridge University Press. ISBN 9781009096225