Unsolved Problems
Showing 1-5 of 5 problems
Category
Problem Set
Status
GREEN-004
Solved
Product-Free Sets in Alternating Groups
What is the largest product-free set in the alternating group $A_n$?...
L2
112
6
GREEN-011
Solved
Progressions with Structured Common Differences
Find reasonable bounds for the maximal density of a set $A \subset \{1, \ldots, N\}$ not containing a 3-term progression with common difference a squa...
L1
134
8
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
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
135
9
GREEN-095
Solved
Sums of Two Palindromes
Are a positive proportion of positive integers a sum of two palindromes?...
L2
95
6