352

Answers

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19

Open problems with monetary rewards

8

Old books still used

4

How small can a sum of a few roots of unity be?

0

A balls-and-colours problem

3

Direct proof of irrationality?

16

Status of the 196 conjecture?

1

Examples of using physical intuition to solve math problems

0

Does the fact that this vector space is not isomorphic to its double-dual require choice?

4

Eigenvalues of A+B where A is symmetric positive definite and B is diagonal

0

Freshman’s definition of sin(x) ?

0

Finding n points that are equidistant around the circumference of an ellipse

1

Basic results with three or more hypotheses

10

Who first proved that the value of C/d is independent of the choice of circle?

8

Can the number of solutions $xy(x-y-1)=n$ for $x,y,n \in Z$ be unbounded as n varies?

5

formal power series convergence

0

Any sum of 2 dice with equal probability

1

Spectral graph theory: Interpretability of eigenvalues and -vectors

1

What is the n-th power of the adjacency matrix equal to?

3

Connectivity of the Erdős–Rényi random graph

3

When is an algebra of commuting matrices (contained in one) generated by a single matrix?

14

Integer-valued factorial ratios (2)

15

Covering $\mathbb{N}$ with prime arithmetic progressions (2)

1

triple with large LCM

4

Invertible matrices of natural numbers are permutations… why?

1

Adjacency matrices of graphs

5

Minimal basis of set of positive integers

4

You pass X people and Y people pass you: how relatively fast are you?

3

General integer solution for x^2+y^2-z^2=+/-1

1

Is the empty graph a tree?

1

Is there an efficient algorithm for finding a square root modulo a prime power?