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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.

3 votes

Decomposing a set of integers as a union of well-separated (discrete) intervals

We have a similar concept on numerical semigroups, borrowed from the idea of run. For a numerical semigroup, a desert is an run of gaps (non-negative integers not belonging to the semigroup), and it h …
Gerry Myerson's user avatar