KnowraAdditive combinatoricsLinked fromLinked fromThe 14 pages that link to Additive combinatorics, each with the reason it gives.All 14Related 6Narrower topic 8Incidence geometryRelated: Geometric incidence estimates can bound additive structures through point-line transformations.IncidenceRelated: Incidence bounds can control solutions to equations involving sums and products.Additive number theoryNarrower topic: This broader framework supplies many modern tools for studying sums of integers.Terence TaoNarrower topic: This field connects Tao’s work on arithmetic progressions with analytic number theory.Green–Tao theoremNarrower topic: Green–Tao exemplifies how additive-combinatorial structure can reveal patterns in primes.Van der Waerden's theoremNarrower topic: The theorem is an early model of structure forced by colorings rather than density.Endre SzemerédiRelated: Szemerédi’s progression results helped shape this field’s central questions.Szemerédi–Trotter theoremNarrower topic: The theorem supplies geometric estimates used in several additive-combinatorial arguments.Steinhaus theoremNarrower topic: The theorem guarantees local additive structure in every positive-measure set.Szemerédi's theoremNarrower topic: Szemerédi's theorem is a landmark result in this broader study of additive patterns.Algebraic combinatoricsRelated: It shares algebraic settings but focuses especially on additive structure and density.Cameron–Erdős conjectureRelated: The conjecture is a counting problem about sets constrained by addition.Erdős–Graham problemRelated: The problem asks whether abundant reciprocal weight forces a particular finite additive pattern.Erdős–Szemerédi theoremNarrower topic: The theorem helped motivate a broader framework for comparing additive and multiplicative structure.