Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sign Changes of Coefficients of Powers of the Infinite Borwein Product   We denote by $c_t^{(m)}(n)$ the coefficient of $q^n$ in the series expansion
of $(q;q)_\infty^m(q^t;q^t)_\infty^{-m}$, which is the $m$-th power of the
infinite Borwein product. Let $t$ and $m$ be positive integers with $m(t-1)\leq
24$. We provide asymptotic formula for $c_t^{(m)}(n)$, and give
characterizations of $n$ for which $c_t^{(m)}(n)$ is positive, negative or
zero. We show that $c_t^{(m)}(n)$ is ultimately periodic in sign and conjecture
that this is still true for other positive integer values of $t$ and $m$.
Furthermore, we confirm this conjecture in the cases $(t,m)=(2,m),(p,1),(p,3)$
for arbitrary positive integer $m$ and prime $p$.

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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg