List questions from sumset

Published on 20 May 2020 - 13:13

347

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

Published on 12 Jun 2020 - 0:21

172

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

Published on 30 Jun 2020 - 8:57

988

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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 14 Jul 2020 - 5:20

369

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

Published on 16 Jul 2020 - 1:00

32

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An inequality for sumsets

Published on 02 Aug 2016 - 16:37

66

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

Published on 10 Sep 2016 - 23:07

3.7k

Views

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

Published on 28 Sep 2016 - 17:54

2.4k

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Given two open sets, show their sum is open

Published on 03 Oct 2016 - 0:58

2.8k

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

Published on 17 Oct 2016 - 8:44

42

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

Published on 17 Nov 2016 - 16:14

51

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$p$ divides $ax+by+cz$

Published on 28 Nov 2016 - 9:17

77

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

Published on 24 Dec 2016 - 13:16

1.3k

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

Published on 22 Jan 2017 - 18:40

256

Views

inclusion-exclusion principle

Published on 13 Feb 2017 - 15:27

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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