List questions from additive-combinatorics

Published on 17 Mar 2026 - 14:34

102

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Can $q^2 \alpha \,(\text{mod } 1)$ be made arbitrarily small?

Published on 02 Mar 2020 - 11:40

124

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Density of full $k$-dimensional affine subspaces of $\mathbb{F}_{p}^{n}$.

Published on 02 Mar 2020 - 18:31

106

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Asymptotic number of $3$-AP's in a set $A\subseteq\mathbb{F}_{p}^{n}$ of density $\epsilon$.

Published on 03 Mar 2020 - 1:42

99

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Gowers norm in the case $d=1$

Published on 12 Mar 2020 - 9:55

65

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Finding large solution-free sets

Published on 23 Mar 2020 - 17:10

37

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On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Published on 02 Apr 2020 - 6:28

100

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Properties of the Complement of a Sumset

Published on 17 Apr 2020 - 19:07

171

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Estimating Fourier transform of an indicator function

Published on 22 Apr 2020 - 0:13

68

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For $N$ large, if $A\subseteq[N]^d$ with $|A|\ge\delta N^d$ there is $S'=S+a$ of a finite $S\subseteq\mathbb{Z}^d$ with $|S'\cap A|\ge (\delta/2)|S|$

Published on 25 Apr 2020 - 20:34

109

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Understanding the step in the proof about additive energy

Published on 05 Jun 2020 - 16:59

114

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Goldbach conjecture and other problems in additive combinatorics

Published on 13 Jun 2020 - 17:26

246

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Szemerédi Regularity Lemma - finding regular pairs of "large" size

Published on 14 Jun 2020 - 9:50

137

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How to solve arithmetic problems involving infinite sets of integers such as this one?

Published on 22 Jun 2020 - 14:15

86

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Largest set $B$ such that $|A\cap (B-B)|=p$

Published on 25 Mar 2026 - 4:36

List Question

Set $A$ with $|2A| \geq 100|A|$ but $|3A| < 1000|A|$

Can $q^2 \alpha \,(\text{mod } 1)$ be made arbitrarily small?

Density of full $k$-dimensional affine subspaces of $\mathbb{F}_{p}^{n}$.

Asymptotic number of $3$-AP's in a set $A\subseteq\mathbb{F}_{p}^{n}$ of density $\epsilon$.

Gowers norm in the case $d=1$

Finding large solution-free sets

On subsets of $\mathbb N^2$ with elements not comparable w.r.t. componentwise order

Properties of the Complement of a Sumset

Estimating Fourier transform of an indicator function

For $N$ large, if $A\subseteq[N]^d$ with $|A|\ge\delta N^d$ there is $S'=S+a$ of a finite $S\subseteq\mathbb{Z}^d$ with $|S'\cap A|\ge (\delta/2)|S|$

Understanding the step in the proof about additive energy

Goldbach conjecture and other problems in additive combinatorics

Szemerédi Regularity Lemma - finding regular pairs of "large" size

How to solve arithmetic problems involving infinite sets of integers such as this one?

Largest set $B$ such that $|A\cap (B-B)|=p$

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