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60 votes
4 answers
37k views

Global character of ABC/Szpiro inequalities

26 votes
4 answers
5k views

Situation with Artemov's paper?

23 votes
5 answers
1k views

Find the area of the region enclosed by $\frac{\sin x}{\sin y}=\frac{\sin x+\sin y}{\sin(x+y)}$ and the $x$-axis (comes from a probability question)

12 votes
5 answers
2k views

What are some good examples of spectral sequences which degenerate after the first nontrivial differential?

18 votes
3 answers
2k views

Where do root systems arise in mathematics?

13 votes
8 answers
1k views

The vertices of a triangle are three random points on a unit circle. The side lengths are, in random order, $a,b,c$. Show that $P(ab>c)=\frac12$

7 votes
4 answers
642 views

What is the $\inf$ and $\sup$ of the area of quadrilateral given its sides length?

29 votes
2 answers
2k views

Packing an upwards equilateral triangle efficiently by downwards equilateral triangles

3 votes
2 answers
3k views

Is this formula expressing $\operatorname{erf} \left(\tfrac 1 {\sqrt 2}\right)$ as an infinite series already known?

21 votes
1 answer
1k views

Are the real numbers isomorphic to a nontrivial ultraproduct of fields?

16 votes
2 answers
931 views

Homotopy equivalent but non-homeomorphic high-dimensional manifolds

13 votes
3 answers
1k views

Examples of concrete games to apply Borel determinacy to

17 votes
1 answer
649 views

Injective ring homomorphism from $\mathbb{Z}_p[[x,y]]$ to $\mathbb{Z}_p[[x]]$

8 votes
3 answers
799 views

Finding a nilpotent, infinite, f.g., virtually abelian, irreducible integer matrix group

6 votes
3 answers
621 views

Evaluating the infinite product $\prod_{k\geq 2}(1-\frac{1}{k^3})$

16 votes
3 answers
928 views

Conjectures in the representation theory of the symmetric group

16 votes
2 answers
1k views

Is it decidable whether two real algebraic irrationals generate the same extension of the rationals?

10 votes
5 answers
839 views

Proving Poincaré's inequality for Boolean functions over the hypercube without Fourier analysis

8 votes
5 answers
572 views

$n$-th derivative of $\exp\left(-\frac{\lambda(x-\mu)^2}{2\mu^2x}\right)$

9 votes
2 answers
1k views

A question on Euler's totient function

5 votes
3 answers
818 views

Naturality of Lie bracket — alternate proof

10 votes
3 answers
946 views

What is the intuition behind applying the Mellin Transform to prime distribution?

2 votes
5 answers
461 views

Finding $\sum_i x_i$ given $\{\sum_i x_i^{2n}\}_{n\in \mathbb{N}}$

17 votes
1 answer
1k views

Can the Pythagorean Graph be finitely colored?

16 votes
1 answer
550 views

Limit involving the fractional part and the Fibonacci numbers

10 votes
1 answer
1k views

Are some interesting mathematical statements minimal?

12 votes
2 answers
914 views

Why is inner model theory evidence for consistency of large cardinals?

6 votes
1 answer
289 views

What integers can be represented as $\textrm{lcm}(a, b) + \textrm{lcm}(b, c) + \textrm{lcm}(c, a)$?

3 votes
1 answer
599 views

Separating Gamma in two independent functions

9 votes
2 answers
611 views

Another limit involving the fractional part

8 votes
2 answers
548 views

Derivations in the Steenrod algebra

5 votes
1 answer
690 views

Geometric mean of prime factors of all numbers up to n

12 votes
2 answers
480 views

What are the centre and trace of the simplex category?

13 votes
1 answer
533 views

Long chains of amorphous cardinalities

7 votes
3 answers
496 views

Real-world examples of unweighted directed graphs

3 votes
2 answers
478 views

For every sequence of nonempty open sets there is a disjoint sequence of nonempty open sets "below" it

6 votes
2 answers
469 views

Is strengthening Foundation in NBG sufficient to make it prove Con(ZFC)?

13 votes
1 answer
533 views

Identifying two definitions of orientation on a vector space

0 votes
2 answers
312 views

How to show the following matrix has eigenvalues $-d,-d+1,...,d$?

6 votes
2 answers
580 views

Does PA prove (Artemov-style) the consistency of a stronger system?

6 votes
3 answers
332 views

What is known about finite dimensional modules over the nilCoxeter algebra?

3 votes
2 answers
601 views

Can uncountable sets be proved to exist in this variant of ZFC with definability restrictions?

6 votes
1 answer
882 views

What is this huge generalization of the Modularity Theorem?

7 votes
2 answers
242 views

For this continuous non differentiable function $f$ How to determine $\sup\{a\}$ s.t $\lim\limits_{h\to0}\frac{f(x+h)-f(x)}{h^\alpha}=0$ for all $x$?

6 votes
1 answer
377 views

Second-order ordinal definability

10 votes
1 answer
469 views

Does proper forcing preserve properness under PFA?

5 votes
3 answers
501 views

An inequality in an Euclidean space

3 votes
1 answer
494 views

$\zeta(2n+1)$ - Is this formulation helpful?


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