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Showing 1-4 of 4 problems

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All CategoriesNumber TheoryCombinatoricsGraph TheoryAlgebraAlgebraic GeometryGeometryTopologyAnalysisPartial Differential EquationsSet TheoryComputer ScienceMathematical Physics

Problem Set

All SetsMillennium Prize ProblemsHilbert's 23 ProblemsBen Green's 100 Open ProblemsDARPA's 23 Mathematical ChallengesSmale's ProblemsLandau's Problems

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GREEN-004
Solved

Product-Free Sets in Alternating Groups

What is the largest product-free set in the alternating group $A_n$?...

L2
Algebra
112
6
GREEN-014
Solved

2-Colour van der Waerden Numbers

Define the 2-colour van der Waerden numbers $W(k, r)$ to be the least quantities such that if $\{1, \dots, W(k, r)\}$ is coloured red and blue then th...

L2
Combinatorics
125
8
GREEN-019
Solved

Corners in $\mathbb{F}_2^n$

What is $C$, the infimum of all exponents $c$ for which the following is true, uniformly for $0 < \alpha < 1$? Suppose that $A \subset \mathbb{F}_2^n$...

L2
Combinatorics
135
9
GREEN-095
Solved

Sums of Two Palindromes

Are a positive proportion of positive integers a sum of two palindromes?...

L2
Number Theory
95
6

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