Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: There is no analogue to Jarn\'ik's relation for twisted Diophantine
  approximmation   Jarn\'ik's relation is in dimension $2$ the formula $\hat{\lambda} +
\frac{1}{\hat{\omega}} = 1$ linking both uniform exponents. It is an open
question to generalize this equation to higher dimension, or to the
multiplicative case. In this paper we consider a twisted case, between the
classical and the multiplicative one, and we show that no analogue to
Jarn\'ik's relation holds.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg