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Answers
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16
Philosophy behind Yitang Zhang’s work on the Twin Primes Conjecture
13
Proof of the weak Goldbach Conjecture
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Can you cover the Boolean cube {0,1}^n with O(1) Hamming-balls each of radius n/2-c*sqrt(n)?
6
Nonlinear equations in integers
11
Perron, Fourier
6
minimum number of subsets?
9
Is there a Plancherel Theorem for Gowers norms?
18
Arithmetic Progressions of Squares
12
Infimums of exponential sums involving primes
7
Cliques, Paley graphs and quadratic residues
14
Roth’s theorem and Behrend’s lower bound
25
Walsh Fourier Transform of the Möbius function
7
Degree of commutativity of finite groups and subgroups
6
A learning roadmap for Additive combinatorics.
4
Does Weyl’s Inequality prove equidistribution?
17
Are all primes in a PAP-3?
3
Algebraic geometry used “externally” (in problems without obvious algebraic structure).
4
covering a square with unit squares
25
How does one use the Poisson summation formula?
5
Intervals with large numbers of primes
11
Given n k-element subsets of n, is there a small subset A of n which intersects them all?
10
Random projection and finite fields
5
explicit big linearly independent sets
5
Wanted: A constructive version of a theorem of Furstenberg and Weiss
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Are There Primes of Every Hamming Weight?
97
What are some examples of colorful language in serious mathematics papers?