Additive Number Theory ExercisesWithout giving full details, explain why in the first proof of the Hales-Jewett theorem it is in fact enough to find y1 , . . . , yr and A1 , . . . , Ar with the following property:

Source URL: www.dpmms.cam.ac.uk

Additive Number Theory Examples SheetW. T. G. (i) Deduce the following extension of Roth’s theorem from Ruzsa’s lemma (and

Source URL: www.dpmms.cam.ac.uk

• Function
• Invariant theory
• Combinatorics
• Dyadic cubes
• Mathematics
• Constructible universe
• Ordinal number

Additive Number Theory Examples Sheet 2. W. T. G. 1. Let k be a real number. Prove that there exist an integer N and a subset A ⊂ ZN ˆ

Source URL: www.dpmms.cam.ac.uk

• Linear algebra
• Algebraic number theory
• Group theory
• Vector space
• Isomorphism
• Integer
• Theorems and definitions in linear algebra
• Approximately finite dimensional C*-algebra
• Algebra
• Mathematics
• Abstract algebra

ON THE NUMBER OF SUBSEQUENCES WITH GIVEN SUM OF SEQUENCES IN FINITE ABELIAN p-GROUPS WEIDONG GAO AND ALFRED GEROLDINGER Abstract. Let G be an additive finite abelian p-group. For a given (long) sequence S in G and some e

Source URL: ccom.uprrp.edu

• Topological groups
• Abelian group
• Niels Henrik Abel
• Free abelian group
• Center
• Ring theory
• Homological algebra
• Representation theory of finite groups
• Exponential map
• Abstract algebra
• Algebra
• Group theory

Number Theory Worksheet 3–Enhancing Thinking Skills Using BYOD Testing Fermat’s Conjecture using Mathway on BYOD Steve and Reta read about a famous French mathematician named Fermat. One of Fermat’s favourite conje

Source URL: www.aucklandmaths.org.nz

• Number
• Integer sequences
• Analytic number theory
• Additive number theory
• Mathematics
• Group theory
• Pierre de Fermat

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 158, Number 1, July 1971 GENERATING AND COGENERATING STRUCTURES BY

Source URL: www.math.niu.edu

• Additive categories
• Homological algebra
• Epimorphism
• Adjoint functors
• Exact functor
• Natural transformation
• Equivalence of categories
• Hom functor
• Sheaf
• Category theory
• Abstract algebra
• Functors

FIM Nachdiplomvorlesung Regularity Methods in Combinatorics Abstract: Szemerédi‘s regularity lemma provides a rough

Source URL: www.fim.math.ethz.ch

• Lemmas
• Szemerédi regularity lemma
• Ramsey theory
• Additive combinatorics
• Additive number theory
• Green–Tao theorem
• Endre Szemerédi
• Prime number
• Mathematics
• Combinatorics
• Graph theory

USA Mathematical Talent Search Round 3 Problems Year 21 — Academic Year 2009–2010 www.usamts.org Important information: 1. You must show your work and prove your answers on all problems. If you

Source URL: www.usamts.org

• Additive number theory
• Conjectures
• Diophantine equations
• Integer sequences
• Mathematics
• Prime number

USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]For every integer k ≥ 2, find a formula (in terms of k) for the smallest positive integer n that has the following property:

Source URL: www.usamts.org

• Integer sequences
• Complex analysis
• Additive number theory
• Mathematical series
• Binomial coefficient
• Graph coloring
• Mathematics
• Mathematical analysis
• Combinatorics

Publications by Ben Green August 1st[removed]The number of squares and Bh [g]-sets, Acta Arithmetica[removed]no. 4, 365–[removed]On arithmetic structures in dense sets of integers, Duke Math. Jour[removed]no.

Source URL: people.maths.ox.ac.uk

• Additive number theory
• Number theorists
• Arithmetic combinatorics
• Ergodic theory
• Harmonic analysis
• Sumset
• Ben J. Green
• Analytic number theory
• XTR
• Mathematics
• Combinatorics
• Additive combinatorics