List questions from additive-combinatorics

Published on 25 Mar 2026 - 6:00

67

Views

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

Published on 23 Feb 2026 - 2:22

202

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A question about Fibonacci numbers

Published on 21 Mar 2026 - 21:51

85

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Few solutions for $a_1+a_2=n$ implies few solutions to $2a_1+a_2=n$?

Published on 22 Mar 2026 - 3:04

87

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If $\mathrm{d}(\mathcal{A})=1$ and $\mathcal{B}$ is a basis, does $\mathcal{A}+\mathcal{B}\sim \mathbb{N}$?

Published on 22 Mar 2026 - 4:25

16

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Multiplying function by quadratic exponential in the Green-Sanders Monochromatic Sums and Products paper

Published on 10 Mar 2026 - 11:38

166

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Changing powers to sums in a simple system of equations

Published on 22 Mar 2026 - 12:45

57

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A subsets property for finite cyclic groups

Published on 22 Mar 2026 - 8:54

717

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Representation of integers by Fibonacci numbers

Published on 22 Mar 2026 - 9:13

199

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Representation of rational numbers by Bernoulli numbers

Published on 22 Mar 2026 - 0:21

41

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Sum of correlations of $k$ integers whose sum is fixed

Published on 21 Mar 2026 - 19:38

57

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A type of integer numbers set

Published on 22 Mar 2026 - 12:41

133

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Some co-finite subsets of rational numbers

Published on 22 Mar 2026 - 2:36

136

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Some types of co-finite subsets of real numbers

Published on 22 Mar 2026 - 10:23

43

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

Published on 23 Feb 2026 - 2:23

List Question

An old question about sumsets and difference sets

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

A question about Fibonacci numbers

Few solutions for $a_1+a_2=n$ implies few solutions to $2a_1+a_2=n$?

If $\mathrm{d}(\mathcal{A})=1$ and $\mathcal{B}$ is a basis, does $\mathcal{A}+\mathcal{B}\sim \mathbb{N}$?

Multiplying function by quadratic exponential in the Green-Sanders Monochromatic Sums and Products paper

Changing powers to sums in a simple system of equations

A subsets property for finite cyclic groups

Representation of integers by Fibonacci numbers

Representation of rational numbers by Bernoulli numbers

Sum of correlations of $k$ integers whose sum is fixed

A type of integer numbers set

Some co-finite subsets of rational numbers

Some types of co-finite subsets of real numbers

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

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