Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a generalization of Beiter Conjecture   We prove that for every $\varepsilon>0$ and a nonnegative integer $\omega$
there exist primes $p_1,p_2,\ldots,p_\omega$ such that for $n=p_1p_2\ldots
p_\omega$ the height of the cyclotomic polynomial $\Phi_n$ is at least
$(1-\varepsilon)c_\omega M_n$, where
$M_n=\prod_{i=1}^{\omega-2}p_i^{2^{\omega-1-i}-1}$ and $c_\omega$ is a constant
depending only on $\omega$; furthermore
$\lim_{\omega\to\infty}c_\omega^{2^{-\omega}}\approx0.71$. In our construction
we can have $p_i>h(p_1p_2\ldots p_{i-1})$ for all $i=1,2,\ldots,\omega$ and any
function $h:\mathbb{R}_+\to\mathbb{R}_+$.

27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph