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Vesselin Dimitrov's user avatar
Vesselin Dimitrov's user avatar
Vesselin Dimitrov's user avatar
Vesselin Dimitrov
  • Member for 11 years, 10 months
  • Last seen more than a week ago
67 votes
33 answers
12k views

Trichotomies in mathematics

63 votes
3 answers
5k views

Are there infinitely many integer-valued polynomials dominated by $1.9^n$ on all of $\mathbb{N}$?

18 votes
2 answers
2k views

If there is a dense geodesic, are almost all geodesics equidistributed? Dense?

18 votes
1 answer
1k views

How many integers divide a number that involves just three non-zero digits?

17 votes
1 answer
702 views

Is there a bounded sequence of points in the plane with pairwise distances at least $1/\sqrt{|i-j|}$?

15 votes
1 answer
896 views

Does Littlewood's bound on $\zeta(1+it)$ extend to all the partial sums?

14 votes
0 answers
639 views

Can there be arbitrarily many cubic fields unramified outside $\{p,\infty\}$?

14 votes
3 answers
918 views

Asymptotics for algebraic numbers of height less than one

14 votes
2 answers
683 views

Occurrences of D. H. Lehmer's 10-th degree polynomial

13 votes
0 answers
582 views

Should the number of small solutions in Roth's theorem be bounded uniformly, assuming the target is an algebraic integer?

13 votes
0 answers
307 views

Diophantine approximation in the Julia set

13 votes
1 answer
525 views

Are the logarithms of the integer polynomials discrete in $L^1$ of the unit circle?

12 votes
0 answers
312 views

$p$-Adic or arithmetic variants of Khovanskii's "low complexity $\Rightarrow$ tame topology" theory

12 votes
0 answers
657 views

Rational iterations on $\mathbb{P}^1$ defined over $\mathbb{Q}$ and possessing a totally $2$-adic point of a high finite order

12 votes
0 answers
424 views

Average ranks of abelian surfaces

12 votes
1 answer
582 views

The torsion point count in higher dimension

11 votes
2 answers
1k views

Can there be a power basis for a totally real field of high degree?

11 votes
1 answer
485 views

The Mordell and Bogomolov problems in linear groups

11 votes
1 answer
864 views

Higher Fano varieties and Tsen's theorem

11 votes
0 answers
365 views

What are the possible bad reductions for an abelian variety of dimension $g$ and a maximal endomorphism ring?

10 votes
2 answers
355 views

Refined equidistribution for the periodic trajectories of Anosov flows?

10 votes
1 answer
1k views

The supremum value of $\int f(t) \log{\frac{1}{|t|}} \, dt$ for normalized Fourier pairs non-negative outside of $[-1,1]$

10 votes
1 answer
805 views

An extremal problem related either to an uncertainty principle on the circle, or else to the prime number theorem

10 votes
0 answers
701 views

Paths in $\mathrm{Spec} \, \mathbb{Z}$ and Kim's proof of Siegel's theorem for $\mathbb{P}^1 \setminus \{0,1,\infty\}$

10 votes
2 answers
710 views

The height of an orbit under rational self-maps

10 votes
1 answer
569 views

Are the polynomials in $\{1/t\}$ dense in $L^2(0,1)$?

9 votes
1 answer
488 views

Subspaces of $L^2(0,1)$ dense on every truncation $L^2(c,1)$

9 votes
0 answers
319 views

Discriminants of Gleason's period-$n$ polynomials for the Mandelbrot set

9 votes
1 answer
328 views

What is the set of possible densities of pointless members in a family of rational curves over $\mathbb{Q}$?

9 votes
1 answer
854 views

A question about Mirzakhani et. al.'s algebraicity theorem