User Vesselin Dimitrov - MathOverflow

94 votes

Philosophy behind Mochizuki's work on the ABC conjecture

answered Sep 15, 2012 at 18:49

41 votes

Accepted

Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?

answered Sep 26, 2013 at 15:36

39 votes

Accepted

Is any particular algebraic number known to have unbounded continued fraction coefficients?

answered Jul 31, 2014 at 5:54

39 votes

$f(x)$ is irreducible but $f(x^n)$ is reducible

answered Aug 25, 2014 at 20:05

39 votes

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

answered Nov 9, 2015 at 20:40

37 votes

Philosophy behind Mochizuki's work on the ABC conjecture

answered Sep 17, 2012 at 14:34

37 votes

Accepted

Are rational varieties simply connected?

answered Jan 31, 2013 at 18:56

35 votes

Can a unit square be cut into rectangles that tile a rectangle with irrational sides?

answered Jan 15, 2014 at 15:17

33 votes

Proposals for polymath projects

answered Sep 30, 2015 at 22:57

29 votes

Accepted

Is $x^{n}-x-1$ irreducible?

answered Aug 4, 2014 at 18:19

26 votes

Modular Forms - Eichler quote

answered Feb 3, 2013 at 16:35

26 votes

irreducibility of discriminant

answered Oct 24, 2015 at 23:33

19 votes

Accepted

Multizeta function values

answered Dec 26, 2016 at 14:00

16 votes

Special topics to include in course in algebraic number theory

answered Apr 1, 2016 at 6:37

16 votes

Vanishing of certain periodic series: A question related to $L(1 , \chi) \neq 0$.

answered Jan 24, 2015 at 20:51

15 votes

Accepted

Arithmetical results to help study arithmetic geometry?

answered Nov 2, 2015 at 3:05

14 votes

Smoothness of the "Archimedean special fiber" in Arakelov geometry

answered Mar 26, 2016 at 21:42

14 votes

Not especially famous, long-open problems which anyone can understand

answered Jan 6, 2014 at 12:12

14 votes

Units in a group algebra

answered Sep 22, 2013 at 21:22

13 votes

A local-to-global principle for isogeny

answered Nov 24, 2013 at 15:13

13 votes

Accepted

Is the set of certain polynomials finite or infinite?

answered Oct 28, 2014 at 5:35

13 votes

First formulation of the Dedekind and Hasse-Weil conjectures

answered Oct 18, 2015 at 2:21

13 votes

Open problems in Berkovich geometry

answered Jan 28, 2015 at 23:56

13 votes

Estimate number of solutions in the Roth's theorem

answered Sep 6, 2016 at 15:47

12 votes

Accepted

Equidistribution of CM points in the principal genus

answered Jul 23, 2018 at 15:57

12 votes

Why could Mertens not prove the prime number theorem?

answered Jun 2, 2015 at 10:51

12 votes

Accepted

Mori: p-adic and real hemispheres of the mathematical universe?

answered Sep 21, 2017 at 15:42

12 votes

About irreducible trinomials

answered Apr 15, 2016 at 22:56

12 votes

Contest problems with connections to deeper mathematics

answered Aug 9, 2014 at 13:12

11 votes

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

answered Jan 24, 2015 at 23:16

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76 Answers

Philosophy behind Mochizuki's work on the ABC conjecture

Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?

Is any particular algebraic number known to have unbounded continued fraction coefficients?

$f(x)$ is irreducible but $f(x^n)$ is reducible

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

Philosophy behind Mochizuki's work on the ABC conjecture

Are rational varieties simply connected?

Can a unit square be cut into rectangles that tile a rectangle with irrational sides?

Proposals for polymath projects

Is $x^{n}-x-1$ irreducible?

Modular Forms - Eichler quote

irreducibility of discriminant

Multizeta function values

Special topics to include in course in algebraic number theory

Vanishing of certain periodic series: A question related to $L(1 , \chi) \neq 0$.

Arithmetical results to help study arithmetic geometry?

Smoothness of the "Archimedean special fiber" in Arakelov geometry

Not especially famous, long-open problems which anyone can understand

Units in a group algebra

A local-to-global principle for isogeny

Is the set of certain polynomials finite or infinite?

First formulation of the Dedekind and Hasse-Weil conjectures

Open problems in Berkovich geometry

Estimate number of solutions in the Roth's theorem

Equidistribution of CM points in the principal genus

Why could Mertens not prove the prime number theorem?

Mori: p-adic and real hemispheres of the mathematical universe?

About irreducible trinomials

Contest problems with connections to deeper mathematics

Shortest/Most elegant proof for $L(1,\chi)\neq 0$