List questions from additive-combinatorics

Published on 30 Jun 2020 - 8:42

173

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Determine the structure of all finite sets $A$ of integers such that $|A| = k$ and $|2A| = 2k + 1$.

Published on 23 Feb 2026 - 2:22

2.1k

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A Nice Problem In Additive Number Theory

Published on 09 Jul 2020 - 5:32

370

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If an infinite set $S$ of positive integers is equidistributed, is $S+S$ also equidistributed?

Published on 23 Feb 2026 - 2:20

597

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The size of sets of positive integers not having distinct subsets with equal size and sum

Published on 15 Jul 2016 - 22:50

118

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Bounds for the Fourier transform of characteristic functions on $\mathbb{Z}/N\mathbb{Z}$ supported on large sets

Published on 25 Mar 2026 - 4:35

1.2k

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Use Pigeonhole to show of any set of $2^{n+1}-1$ positive integers is possible choose $2^{n}$ elements such that their sum is divisible by $2^{n}$.

Published on 25 Mar 2026 - 10:41

170

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A Combinatorics Problem with x+y = z

Published on 24 Mar 2026 - 22:53

103

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Combinatorics Proof Suggestions and Feedback

Published on 02 Aug 2016 - 4:43

34

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An inequality for sumsets

Published on 21 Mar 2026 - 22:11

52

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Subset of $\mathbb{Z}_n$ and zero sum

Published on 24 Mar 2026 - 19:57

195

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Additive energy of a set and an arithmetic progression

Published on 06 Aug 2016 - 21:18

26

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Bounds for the moments of complex geometric sums

Published on 14 Aug 2016 - 2:55

165

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An analogue of direct sum decomposition of a cofinite subset of integers

Published on 25 Mar 2026 - 2:53

357

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Olympiad style problem about sets.

Published on 22 Mar 2026 - 10:15

List Question

$4$ vectors in $\mathbb{Z_4}^9$that sum to $0$.

Determine the structure of all finite sets $A$ of integers such that $|A| = k$ and $|2A| = 2k + 1$.

A Nice Problem In Additive Number Theory

If an infinite set $S$ of positive integers is equidistributed, is $S+S$ also equidistributed?

The size of sets of positive integers not having distinct subsets with equal size and sum

Bounds for the Fourier transform of characteristic functions on $\mathbb{Z}/N\mathbb{Z}$ supported on large sets

Use Pigeonhole to show of any set of $2^{n+1}-1$ positive integers is possible choose $2^{n}$ elements such that their sum is divisible by $2^{n}$.

A Combinatorics Problem with x+y = z

Combinatorics Proof Suggestions and Feedback

An inequality for sumsets

Subset of $\mathbb{Z}_n$ and zero sum

Additive energy of a set and an arithmetic progression

Bounds for the moments of complex geometric sums

An analogue of direct sum decomposition of a cofinite subset of integers

Olympiad style problem about sets.

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