List questions from sumset

Published on 22 Mar 2026 - 17:53

361

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$X$ open, $X+Y$ also open

Published on 07 Apr 2026 - 12:13

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

989

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Let s be a set of five positive integers at most 9. Prove that the sums of the elements in all the non empty subsets of s cannot be distinct.?

Published on 23 Feb 2026 - 2:21

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

35

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An inequality for sumsets

Published on 05 Apr 2026 - 16:14

67

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Are large enough numbers the sum of two members of a dense, well-distributed set?

Published on 23 Feb 2026 - 2:22

3.7k

Views

If $C$ is the Cantor set, then $C+C=[0,2]$.

Published on 22 Mar 2026 - 17:13

2.4k

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Given two open sets, show their sum is open

Published on 22 Mar 2026 - 19:39

2.8k

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Is the measure of the sum equal to the sum of the measures?

Published on 23 Feb 2026 - 2:21

43

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$|2C|<2^k|C|$ if $C$ is a generalized arithmetic progression

Published on 23 Feb 2026 - 2:23

61

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$p$ divides $ax+by+cz$

Published on 05 Apr 2026 - 22:37

79

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Does $2X\neq X$ imply $2Y\neq Y$?

Published on 22 Mar 2026 - 19:31

1.3k

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Proving $\sup \left( {A + B} \right) = \sup A + \sup B$ using the usual definition.

Published on 23 Feb 2026 - 2:23

259

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inclusion-exclusion principle

Published on 05 Apr 2026 - 15:36

List Question

Minimal size of a sumset over $\mathbb{F}_p$

$X$ open, $X+Y$ also open

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

Let s be a set of five positive integers at most 9. Prove that the sums of the elements in all the non empty subsets of s cannot be distinct.?

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

An inequality for sumsets

Are large enough numbers the sum of two members of a dense, well-distributed set?

If $C$ is the Cantor set, then $C+C=[0,2]$.

Given two open sets, show their sum is open

Is the measure of the sum equal to the sum of the measures?

$|2C|<2^k|C|$ if $C$ is a generalized arithmetic progression

$p$ divides $ax+by+cz$

Does $2X\neq X$ imply $2Y\neq Y$?

Proving $\sup \left( {A + B} \right) = \sup A + \sup B$ using the usual definition.

inclusion-exclusion principle

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