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May
13
comment Combinatorics question in the style of Van der Waerden's theorem
$X$ should be of size at most $N^{1-\epsilon(r)}$.
May
11
comment Combinatorics question in the style of Van der Waerden's theorem
Well, your new $a+b$ can be some $a'+l b'$ for some other $a'$ and $b'$ used before; so the problem basically asks for an example when this happens a lot
May
11
comment Combinatorics question in the style of Van der Waerden's theorem
I abused the big $O$ notation; edited again
May
11
revised Combinatorics question in the style of Van der Waerden's theorem
added 27 characters in body
May
11
comment Combinatorics question in the style of Van der Waerden's theorem
The term "translates" made things unclear, yes. I edited; now things should be correct.
May
11
revised Combinatorics question in the style of Van der Waerden's theorem
added 5 characters in body
May
11
asked Combinatorics question in the style of Van der Waerden's theorem
May
2
comment Exercise from Stein with partial differential operator
Edited. Sorry for not being thorough.
May
2
revised Exercise from Stein with partial differential operator
added 168 characters in body
May
2
asked Exercise from Stein with partial differential operator