Jaroslav Hanvcl

activity

20182026

most citedMetrical irrationality results related to values of the Riemann

ζ

-function

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.NT2026

Lower bounds for the Hausdorff dimension of expressible sets

Maiken Gravgaard, Simon Kristensen, Jaroslav Hančl

We obtain positive lower bounds on the Hausdorff dimension of sets of real numbers given by expressions of the form $\sum_{n = 1}^{\infty} \frac{1}{a _{n} b _{n}}$ , where $b_{n}$ satisfies som…

math.NT2024

On a Theorem of Legendre on Diophantine Approximation

Jaroslav Hančl, Tho Phuoc Nguyen

Legendre's theorem states that every irreducible fraction $\frac{p}{q}$ which satisfies the inequality $α - \frac{p}{q} < \frac{1}{2 q ^{2}}$ is convergent to $α$ . Later…

math.CO2020

On growth functions of ordered hypergraphs

Jaroslav Hančl, Martin Klazar

For $k, l \geq 2$ we consider ideals of edge $l$ -colored complete $k$ -uniform hypergraphs $(n, χ)$ with vertex sets $[n] = {1, 2, \dots n}$ for $n \in N$ . An ideal is a set of su…

math.NT2018

Complementary Schur Asymptotics for Partitions

Jaroslav Hančl

We deduce from the strong form of the Hardy--Ramanujan asymptotics for the partition function $p (n)$ an asymptotics for $p_{- S} (n)$ , the number of partitions of $n$ that do not use…

math.NT2018★ 1 cited

Metrical irrationality results related to values of the Riemann $ζ$ -function

Jaroslav Hančl, Simon Kristensen

We introduce a one-parameter family of series associated to the Riemann $ζ$ -function and prove that the values of the elements of this family at integers are linearly independent o…