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gowers
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17 votes
3 answers
1k views

Is there a non-constructive proof that a specific integer satisfies the Goldbach conjecture?

5 votes
2 answers
485 views

When can this condition on linear codes be satisfied?

13 votes
0 answers
709 views

Is there a weak strong regularity lemma?

11 votes
2 answers
2k views

The mean square distance of a random walk from the origin

120 votes
41 answers
28k views

What are some very important papers published in non-top journals?

7 votes
2 answers
426 views

Nonexistence of an approximately distance-preserving map between discrete cubes

12 votes
1 answer
564 views

Are there very strongly pseudorandom permutations?

25 votes
3 answers
2k views

What can be proved about the Ramanujan conjecture using elementary means?

29 votes
2 answers
1k views

A combination of two well-known complexity problems

15 votes
3 answers
687 views

Finding lots of discrete vectors in fairly general position

15 votes
0 answers
439 views

Best known constant for parallel sorting

13 votes
2 answers
1k views

Economical hard word problem

16 votes
1 answer
494 views

How much universality is there for contact processes?

13 votes
3 answers
1k views

More on Lebesgue non-measurability

23 votes
2 answers
2k views

What is the complexity of this problem?

83 votes
28 answers
7k views

What could be some potentially useful mathematical databases?

21 votes
3 answers
3k views

Is anything known about this braid group quotient?

94 votes
4 answers
12k views

How can there be topological 4-manifolds with no differentiable structure?

128 votes
10 answers
19k views

Are there any very hard unknots?

55 votes
2 answers
19k views

What is the state of our ignorance about the normality of pi?

24 votes
2 answers
1k views

A geometric Ramsey problem

215 votes
67 answers
45k views

Proofs that require fundamentally new ways of thinking

50 votes
4 answers
5k views

Difficult examples for Frankl's union-closed conjecture

67 votes
6 answers
7k views

How to recognise that the polynomial method might work

16 votes
36 answers
3k views

Basic results with three or more hypotheses

158 votes
48 answers
23k views

Generalizing a problem to make it easier

13 votes
0 answers
1k views

A question about Mobius inversion

8 votes
1 answer
1k views

Homogeneous arithmetic progressions in difference sets

212 votes
40 answers
37k views

Demonstrating that rigour is important

13 votes
0 answers
498 views

Making a character small at a reciprocal