List questions from additive-combinatorics

Published on 17 Mar 2026 - 0:34

68

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Behrend's theorem

Published on 21 Mar 2026 - 11:31

39

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Say p $> 7$ be a prime such that p $\equiv$ 1 (3). Show that the set of cubic residues (including zero) do not form an arithmetic progression.

Published on 08 Dec 2019 - 5:04

16

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Calculate the sum of geometric progression.

Published on 10 Mar 2026 - 20:58

73

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A conjecture about a subset of integers

Published on 16 Dec 2019 - 16:18

100

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What is the maximum size of a subset $A\subset \Bbb Z_n$ such that $A+A \subset \Bbb Z_n^*$

Published on 25 Dec 2019 - 13:43

58

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Subsets $A$ of rational numbers with $| \Bbb{Q} \setminus (A-A)|=2m$

Published on 27 Dec 2019 - 7:46

91

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Prove $|A + B| ≥ |A| + |B| - 1$

Published on 24 Mar 2026 - 19:51

47

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Multiplication of a set by a multiplicative subgroup of $ F^*_p $

Published on 23 Jan 2020 - 0:09

217

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Sum-free sets in finite groups

Published on 17 Mar 2026 - 1:14

107

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On a sum of binomial coefficients and inequalities

Published on 27 Jan 2020 - 4:30

203

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Existence of thin bases

Published on 27 Jan 2020 - 11:09

58

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Finite concatenation-free languages

Published on 28 Jan 2020 - 11:04

53

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Relatively maximal sum-free subsets in finite groups

Published on 30 Jan 2020 - 13:11

193

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Subset of $[N]$ with given density $\alpha$ contains at least $\Theta(N^2)$ 3-term arithmetic progressions

Published on 19 Feb 2020 - 12:40

List Question

Sidon sets in finite groups

Behrend's theorem

Say p $> 7$ be a prime such that p $\equiv$ 1 (3). Show that the set of cubic residues (including zero) do not form an arithmetic progression.

Calculate the sum of geometric progression.

A conjecture about a subset of integers

What is the maximum size of a subset $A\subset \Bbb Z_n$ such that $A+A \subset \Bbb Z_n^*$

Subsets $A$ of rational numbers with $| \Bbb{Q} \setminus (A-A)|=2m$

Prove $|A + B| ≥ |A| + |B| - 1$

Multiplication of a set by a multiplicative subgroup of $ F^*_p $

Sum-free sets in finite groups

On a sum of binomial coefficients and inequalities

Existence of thin bases

Finite concatenation-free languages

Relatively maximal sum-free subsets in finite groups

Subset of $[N]$ with given density $\alpha$ contains at least $\Theta(N^2)$ 3-term arithmetic progressions

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