Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the height of cyclotomic polynomials   Let $A_n$ denote the height of cyclotomic polynomial $\Phi_n$, where $n$ is a
product of $k$ distinct odd primes. We prove that $A_n \le
\epsilon_k\phi(n)^{k^{-1}2^{k-1}-1}$ with $-\log\epsilon_k\sim c2^k$, $c>0$.
The same statement is true for the height $C_n$ of the inverse cyclotomic
polynomial $\Psi_n$.
  Additionally, we improve on a bound of Kaplan for the maximal height of
divisors of $x^n-1$, denoted by $B_n$. We show that $B_n<\eta_k
n^{(3^k-1)/(2k)-1}$, with $-\log \eta_k \sim c3^k$ and the same $c$.

21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th