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Nov
6
comment What are some very important papers published in non-top journals?
Agreed -- I think it is an excellent example, though I'd guess that it isn't an example that was "missed" by a top journal -- more that the authors probably (and correctly) didn't think that where they submitted it to would make any difference to the prestige they got from the paper.
Nov
6
comment What are some very important papers published in non-top journals?
I'm not too fussed about the lower limit -- it was meant as a rough guideline.
Nov
6
awarded  Nice Question
Nov
6
comment What are some very important papers published in non-top journals?
Let's go for a paper published since 1995. And to avoid having to devise an absolute scale, I'll ask merely that the journal should be lower ranking than one would have expected, given the great importance of the paper.
Nov
6
asked What are some very important papers published in non-top journals?
Oct
29
awarded  Famous Question
Oct
20
awarded  Yearling
Oct
6
comment Additive combinatorics and a Diophantine equation
You should be able to get something by combining a number of known results. After the BSG theorem you can apply a lemma of Ruzsa, which allows you to think of your sequence (or rather a suitable subsequence) as living inside a cyclic group that is not much bigger. Then there are results about long arithmetic progressions in sumsets. These will not necessarily be of the form (w,2w,3w,...) but I think a careful look at the proofs should give you this. See for example this paper: arxiv.org/pdf/1103.6000.pdf
Oct
4
awarded  Enlightened
Oct
4
awarded  Nice Answer
Aug
30
awarded  Good Answer
Aug
20
awarded  Great Question
Aug
7
awarded  Nice Answer
Aug
1
awarded  Good Answer
May
21
awarded  Popular Question
May
15
awarded  Nice Answer
May
7
awarded  Notable Question
Apr
17
comment A variant of Goldbach Conjecture
Sorry, that wasn't what I meant to ask. I asked the question I actually wanted to ask in a comment on Harald's answer above, which he has now answered. (The question was whether one could do it for all N and not just sufficiently large N.)
Apr
16
comment A variant of Goldbach Conjecture
Can your work can be adapted to prove the result for every $N$ when $p_1,p_2$ and $p_3$ are required to be less than $N$?
Apr
15
comment A variant of Goldbach Conjecture
You mean the result where you insist that $p_1$, $p_2$ and $p_3$ are less than $N$?