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Results tagged with additive-combinatorics
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user 26147
Questions on the subject additive combinatorics, also known as arithmetic combinatorics, such as questions on: additive bases, sum sets, inverse sum set theorems, sets with small doubling, Sidon sets, Szemerédi's theorem and its ramifications, Gowers uniformity norms, etc. Often combined with the top-level tags nt.number-theory or co.combinatorics. Some additional tags are available for further specialization, including the tags sumsets and sidon-sets.
4
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There exists B subset A, |B| = log n, A \cap 2*B = \emptyset
This is exercise 1.8.1 of Additive Combinatorics.
Problem
Given $A \in Z^+$ a set of $n$ different integers. Prove that there exists $B\subset A$, $|B| = \Omega ( \log n )$, s.t. $A \cap 2*B = \empt …
- 133
2
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Lower bound on P(Y > 3/2 E(Y)) where Y = # of triangles in graph
Context
This is exercise 1.7.1 of Tao/Vu's Additive Combinatorics, generally considered a graduate level math textbook.
My question is not "How do I solve this exercise?"
My question is "What is th …
- 133
7
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2
answers
630
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Elementary Proof of Basis of Order k
Context
According to the FAQ, questions of the form "the sorts of questions you come across when you're writing or reading articles or graduate level books" are acceptable. This falls into the "readi …
- 133