Improved estimates for polynomial Roth type theorems in finite fields

Dong Dong, Xiaochun Li, Will Sawin

Type: Article

Publication Date: 2020-08-08

Citations: 8

DOI: https://doi.org/10.1007/s11854-020-0113-8

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Locations

arXiv (Cornell University) - View - PDF
Journal d Analyse Mathématique - View

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+ PDF Chat	Finite Field Models in Arithmetic Combinatorics – Twenty Years On	2024	Sarah Peluse
+	A Hörmander type theorem in finite fields	2019	Dong Dong
+ PDF Chat	Multidimensional polynomial patterns over finite fields: Bounds, counting estimates and Gowers norm control	2024	Borys Kuca
+ PDF Chat	True complexity of polynomial progressions in finite fields	2021	Borys Kuca
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+ PDF Chat	On a Continuous Sárközy-Type Problem	2022	Borys Kuca Tuomas Orponen Tuomas Sahlsten
+	Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees	2023	Borys Kuca

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	Oscillatory integrals and multipliers on FLp	1973	Lars Hörmander
+	Bounds for exponential sums	1957	L. Carlitz Saburoô Uchiyama
+ PDF Chat	On the Riemann Hypothesis in Function-Fields	1941	André Weil
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra
+	La conjecture de Weil. I	1974	Pierre Deligne
+ PDF Chat	Bilinear Hilbert transforms along curves, I: the monomial case	2013	Xiao-Chun Li
+	On monochromatic solutions of some nonlinear equations in ℤ/pℤ	2010	Ilya D. Shkredov
+	None	1999	Nicholas M. Katz
+ PDF Chat	О монохроматических решениях некоторых нелинейных уравнений в $\mathbb Z/p\mathbb Z$	2010	Илья Дмитриевич Шкредов Ilya D. Shkredov
+	On Exponential Sums in Finite Fields	1966	Enrico Bombieri