Vesselin Dimitrov

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Trichotomies in mathematics

ho.history-overview soft-question big-list asked Feb 2, 2013 at 20:25

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63 votes

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

nt.number-theory asked Aug 11, 2013 at 8:47

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18 votes

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

dg.differential-geometry ds.dynamical-systems riemannian-geometry asked Jul 20, 2014 at 19:38

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18 votes

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

nt.number-theory probabilistic-number-theo asked Aug 9, 2014 at 8:27

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17 votes

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

mg.metric-geometry diophantine-approximation asked Nov 18, 2014 at 1:58

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15 votes

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

nt.number-theory prime-numbers analytic-number-theory riemann-zeta-function asked Jun 23, 2016 at 22:48

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14 votes

Asymptotics for algebraic numbers of height less than one

nt.number-theory algebraic-number-theory asymptotics heights asked Jul 27, 2014 at 20:37

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14 votes

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

nt.number-theory reference-request algebraic-number-theory asked Feb 2, 2015 at 20:31

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14 votes

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

big-list examples asked Sep 4, 2013 at 16:22

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13 votes

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

nt.number-theory diophantine-approximation asked Jul 3, 2013 at 11:33

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Top Answers

Philosophy behind Mochizuki's work on the ABC conjecture

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

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Philosophy behind Mochizuki's work on the ABC conjecture

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

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Are rational varieties simply connected?

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

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

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

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Proposals for polymath projects

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

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irreducibility of discriminant

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Modular Forms - Eichler quote

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Multizeta function values

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

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Special topics to include in course in algebraic number theory

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Units in a group algebra

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

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Is the set of certain polynomials finite or infinite?

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Open problems in Berkovich geometry

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Smoothness of the "Archimedean special fiber" in Arakelov geometry

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Arithmetical results to help study arithmetic geometry?

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First formulation of the Dedekind and Hasse-Weil conjectures

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

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A local-to-global principle for isogeny

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Estimate number of solutions in the Roth's theorem

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Contest problems with connections to deeper mathematics

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About irreducible trinomials

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Equidistribution of CM points in the principal genus

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Nakai-Moishezon theorem for abelian varieties

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

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