List questions from additive-combinatorics

Published on 14 Apr 2021 - 23:59

1.2k

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On the equivalence relation $(a,b) \sim (c,d)\iff a+b=c+d$

Published on 23 Feb 2026 - 2:46

38

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prime divisors of the sum of two integers with given prime divisors

Published on 26 Mar 2026 - 4:53

72

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Upper bound on $\sum_{J\subset [n], |J|=i}\frac{1}{2^{s(J)}}$ where $s(J)=\sum_{j\in J}j$

Published on 08 May 2021 - 16:34

45

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Number of lines of $3$ points in an arrangement of points and lines

Published on 08 May 2021 - 22:31

43

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Size of translated random subset of an abelian group

Published on 10 May 2021 - 8:55

98

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Two properties of the set of Bernoulli numbers

Published on 23 May 2021 - 8:17

61

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Does this combinatorical condition characterize the (kernels of) non-degenerate quadratic forms $q:V\to \mathbb{F}_2$?

Published on 25 Mar 2026 - 10:57

196

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Bipartite graph with density $1/2$ can not be regular

Published on 01 Jun 2021 - 18:13

116

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Reference for solved exercises in additive combinatorics

Published on 04 Jun 2021 - 14:12

121

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Roth's Theorem Finitary and Infinitary forms are equal

Published on 29 Jun 2021 - 19:37

80

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Meager or measure zero $A\subset \mathbb R$ with $A+A=A$ and $A-A=\mathbb R$

Published on 02 Jul 2021 - 8:11

64

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Estimation of order of sum-covering subset

Published on 20 Jul 2021 - 11:43

49

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Characters of a finite abelian group form pairwise independent random variables.

Published on 19 Aug 2021 - 10:58

63

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Sumsets : optimality of two basic inequalities

Published on 23 Feb 2026 - 9:43

List Question

Sidon set in $\mathbb F_q\times\mathbb F_q$, where $q$ is the power of a odd prime

On the equivalence relation $(a,b) \sim (c,d)\iff a+b=c+d$

prime divisors of the sum of two integers with given prime divisors

Upper bound on $\sum_{J\subset [n], |J|=i}\frac{1}{2^{s(J)}}$ where $s(J)=\sum_{j\in J}j$

Number of lines of $3$ points in an arrangement of points and lines

Size of translated random subset of an abelian group

Two properties of the set of Bernoulli numbers

Does this combinatorical condition characterize the (kernels of) non-degenerate quadratic forms $q:V\to \mathbb{F}_2$?

Bipartite graph with density $1/2$ can not be regular

Reference for solved exercises in additive combinatorics

Roth's Theorem Finitary and Infinitary forms are equal

Meager or measure zero $A\subset \mathbb R$ with $A+A=A$ and $A-A=\mathbb R$

Estimation of order of sum-covering subset

Characters of a finite abelian group form pairwise independent random variables.

Sumsets : optimality of two basic inequalities

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