47

Answers

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7

The phenomena of eventual counterexamples

8

More open problems

1

Can Hölder’s Inequality be strengthened for smooth functions?

1

Should one use “above” and “below” in mathematical writing?

3

Polynomials on the Unit Circle

2

triple with large LCM (2)

7

How to recognise that the polynomial method might work

12

Sums of powers mod p

9

Randomly contracting edges of a graph - expected number of vertices?

4

There exists B subset A, |B| = log n, A \cap 2*B = \emptyset

4

An “Average” Erdős–Turán conjecture

1

Estimating a partial sum of weighted binomial coefficients

1

Ways to “regularize” a graph

2

What journal should I submit a work in number theory to?

4

Automorphism Group of Paley Graph

8

Can you cover the Boolean cube {0,1}^n with O(1) Hamming-balls each of radius n/2-c*sqrt(n)?

3

Generalized tic-tac-toe

1

When does $P(a−b)=0$ for $a≠b$ ensure $P(0)=0$? (Continued.)

3

A delicate elementary inequality

1

Formal writing: numbers under 10

8

Is the norm of a $0-1$ matrix (almost) attained on a $0-1$ vector?

4

Find the maximum set whose subset sum is unique for every of its subset.

1

Erdos-Szekeres Theorems

1

Split sum into equal terms

5

Number of integers coprime to l

6

Spectral radius of a proper subgraph

3

A large deviation / binomial coefficients bound

9

The Second Moment of a Sum of Floor Functions

4

Projecting the unit cube onto subspaces

7

Structure of nonaveraging sets of integers (2)