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Results tagged with additive-combinatorics
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user 7089
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.
11
votes
1
answer
556
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Distribution of subset-sums
Let $A$ be a set of $n$ integers uniformly distributed in $\{0,\dots,N-1\}$. Let $S$ be the set of subset-sums modulo $N$ of $A$. Let $f_{n,N}(k)$ be the probability that $|S|=k$.
Is there an expres …
- 1,446
4
votes
1
answer
743
views
Trick for the sum-product problem
Yesterday I read the Quanta article How a Strange Grid Reveals Hidden Connections Between Simple Numbers about the sum-product problem:
Let $A$ be a set of integers. Erdös and Szemerédi conjectured …
- 13k