Sum-product phenomena in F_p: a brief introduction

Sum-product phenomena in F_p: a brief introduction

These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 2009. The aim was to understand the simplest proof of the Bourgain-Glibichuk-Konyagin bounds for exponential sums over subgroups. As a byproduct one obtains a clean proof of the Bourgain-Katz-Tao theore...

Full beskrivning

Bibliografiska uppgifter
Huvudupphovsman:	Green, B
Materialtyp:	Journal article
Publicerad:	2009

Liknande verk

Semialgebraic methods and generalized sum-product phenomena
av: Yifan Jing, et al.
Publicerad: (2022-12-01)

Review of: Van De Pitte, F.P.: Kant as Philosophical Anthropologist
av: Heelas, P
Publicerad: (1972)

Doctor F.P. Haass and the police hospital as the first emergency hospital in Moscow
av: V. R. Kuchma, et al.
Publicerad: (2019-11-01)

Monochromatic sums and products
av: Green, B, et al.
Publicerad: (2016)

A NEW CLASS OF ISODUAL CYCLIC CODES OF RATE 1/2 OVER F_p
av: CHERIF MIHOUBI, et al.
Publicerad: (2016-04-01)

Dictionary: Sovietization Attempt (F.P. Filin’s Review of S.I. Ojegov’s “Russian Dictionary”)
Publicerad: (2014-04-01)

Decidability in extensions of Fp((t))
av: Rigler, B
Publicerad: (2021)

Monochromatic sums and products
av: Ben Green, et al.
Publicerad: (2016-02-01)

Programmable controller FP-M/FP1 : programming manual /
Publicerad: (1994)

An integral equation associated with P+2Fp+1
av: R. Saxena, et al.
Publicerad: (2011-02-01)

$C$-$fp_{n}$-injective and $C$-$fp_{n}$-flat modules
av: Mostafa Amini, et al.
Publicerad: (2025-01-01)

Introduction to transport phenomena /
av: 466128 Thomson, William J.
Publicerad: (2000)

Introduction to transport phenomena /
av: Bird, R. Byron (Robert Byron) 1924-, et al.
Publicerad: ([201)

Introduction to wave phenomena /
av: 338574 Akira Hirose, et al.
Publicerad: (1985)

Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ)
av: Khoi, Le Hai, et al.
Publicerad: (2021)

Diagnostic value of striatal 18F-FP-DTBZ PET in Parkinson’s disease
av: Xiu-Lin Liu, et al.
Publicerad: (2022-07-01)

Early-phase 18F-FP-CIT and 18F-flutemetamol PET were significantly correlated
av: Young-Sil An, et al.
Publicerad: (2021-06-01)

First-in-human study of D6-[18F]FP-(+)-DTBZ, a novel VMAT2 tracer: whole-body biodistribution and brain PET comparison with [18F]FP-(+)-DTBZ (AV-133)
av: Ruiyue Zhao, et al.
Publicerad: (2024-10-01)

S-FP-Projective Modules and Dimensions
av: Refat Abdelmawla Khaled Assaad, et al.
Publicerad: (2023-01-01)

FP-Modules and Related Concepts
av: Marrwa Abdall Salih, et al.
Publicerad: (2012-06-01)

Product Stock Supply Analysis System with FP Growth Algorithm
av: Dwi Hartanti, et al.
Publicerad: (2023-12-01)

Diagnostic accuracy of 18F-FP-CIT PET for clinically uncertain Parkinsonian syndrome
av: Minyoung Oh, et al.
Publicerad: (2023-09-01)

Corrigendum: Diagnostic value of striatal 18F-FP-DTBZ PET in Parkinson's disease
av: Xiu-Lin Liu, et al.
Publicerad: (2022-09-01)

GCD sums and sum-product estimates
av: Bloom, TF, et al.
Publicerad: (2019)

Every sum of cubes in F2[t] is a strict sum of 6 cubes.
av: Gallardo, L, et al.
Publicerad: (2007)

Introduction to critical phenomena in fluids /
av: 409309 Chimowiz, Eldred H.
Publicerad: (2005)

Introduction to electrical interfacial phenomena /
av: Birdi, K. S., 1934-
Publicerad: (2010)

Geminοs. Introduction to the Phenomena
av: ANDREY SCHETNIKOV
Publicerad: (2011-07-01)

F.P. van Oostrom, Reinaert primair. Over het geïntendeerde publiek en de oorspronkelijke functie van Van den vos Reinaerde<br/>F.P. van Oostrom, Beatrijs en de tweefasenstructuur. Over de betrekkingen tussen wereldlijke en geestelijke cultuur in de middeleeuwen
av: R. Künzel
Publicerad: (1986-01-01)

F.P. van Oostrom, Reinaert primair. Over het geïntendeerde publiek en de oorspronkelijke functie van Van den vos Reinaerde<br/>F.P. van Oostrom, Beatrijs en de tweefasenstructuur. Over de betrekkingen tussen wereldlijke en geestelijke cultuur in de middeleeuwen
av: R. Künzel
Publicerad: (1986-01-01)

Satisfiability Problem in Interval FP-logic
av: N.A. Protsenko, et al.
Publicerad: (2023-06-01)

Reversible photobleaching of photoconvertible SAASoti-FP
av: Ilya D. Solovyev, et al.
Publicerad: (2017-12-01)

FUNCTIONAL CORRELATION OF FP AND DC METHODS
av: Marin Kaluža, et al.
Publicerad: (2013-02-01)

A Purification Method of 18F-FP-(+)-DTBZ via Solid-Phase Extraction With Combined Cartridges
av: Yuyin Dai, et al.
Publicerad: (2021-07-01)

Imposing an FP Layer on a Risc Machine
av: M.A. Ei-Affendi
Publicerad: (1994-01-01)

A Brief Introduction
av: Keidan, Artemij
Publicerad: (2023-06-01)

An Introduction to Transport Phenomena in Materials Engineering /
av: Gaskell, David R., 1940-, author 304410
Publicerad: (2013)

Transport phenomena : an introduction to advanced topics /
av: Glasgow, Larry A., 1950-
Publicerad: (2010)

An Introduction to Mutations (Significant Biological Phenomena)
av: Robb, Maurine

An introduction to fluid mechanics and transport phenomena /
av: 298033 Hauke, G.
Publicerad: (2008)