List questions from additive-combinatorics

Published on 09 Sep 2021 - 11:12

203

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Proof of Roth's theorem due to Heath -Brown and Szemeredi

Published on 12 Sep 2021 - 18:20

57

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Proof of Roth-Bourgain Theorem

Published on 19 Sep 2021 - 10:54

201

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Syndeticity- and thickness-preserving bijections of $\mathbb N$

Published on 21 Sep 2021 - 8:25

75

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Finite-index subgroups of dense additive subgroups of $\mathbb R$

Published on 24 Sep 2021 - 14:36

32

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What does it mean by a subset of an arbitrary group is $O(K^9)$-approximate subset?

Published on 27 Sep 2021 - 18:16

280

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Proof verification and improvement - lower bound for the sum product problem

Published on 30 Sep 2021 - 23:07

90

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How many subsets $S$ of integer interval $[0,n]$ such that $k \not \in S+S$?

Published on 23 Feb 2026 - 9:48

64

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Generating restricted finite additive $2$-bases from doubly-eager bit-strings

Published on 23 Feb 2026 - 9:45

115

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How to understand the operation "choose a random subset" in combinatorics?

Published on 01 Nov 2021 - 19:26

36

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Fourier in $\mathbb{Z}^d$ and use of Pigeonhole principle (Prop. $1.1.13$, HOFA by T. Tao)

Published on 05 Nov 2021 - 9:44

148

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Triangle inequality for Ruzsa distance

Published on 12 Nov 2021 - 18:21

68

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Maximal cardinality of Sidon set

Published on 24 Nov 2021 - 21:08

54

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An analytic inequality in the proof of Roth's theorem on arithmetic progressions

Published on 11 Dec 2021 - 3:28

55

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The number of solutions to $a+b=1$ in a multiplicative subgroup of a finite field $GF(q)$

Published on 26 Mar 2026 - 12:38

List Question

non-uniformity implies density increment

Proof of Roth's theorem due to Heath -Brown and Szemeredi

Proof of Roth-Bourgain Theorem

Syndeticity- and thickness-preserving bijections of $\mathbb N$

Finite-index subgroups of dense additive subgroups of $\mathbb R$

What does it mean by a subset of an arbitrary group is $O(K^9)$-approximate subset?

Proof verification and improvement - lower bound for the sum product problem

How many subsets $S$ of integer interval $[0,n]$ such that $k \not \in S+S$?

Generating restricted finite additive $2$-bases from doubly-eager bit-strings

How to understand the operation "choose a random subset" in combinatorics?

Fourier in $\mathbb{Z}^d$ and use of Pigeonhole principle (Prop. $1.1.13$, HOFA by T. Tao)

Triangle inequality for Ruzsa distance

Maximal cardinality of Sidon set

An analytic inequality in the proof of Roth's theorem on arithmetic progressions

The number of solutions to $a+b=1$ in a multiplicative subgroup of a finite field $GF(q)$

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