Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of a sum of modified Bessel functions with non-linear
  argument   We examine the sum of modified Bessel functions with argument depending
non-linearly on the summation index given by \[S_{\nu,p}(a)=\sum_{n\geq 1}
(an^p/2)^{-\nu} K_\nu(an^p)\qquad (a>0,\ 0\leq\nu<1)\] as the parameter $a\to
0+$, where $p$ denotes an integer satisfying $p\geq 2$. This extends previous
work for the cases $p=1$ (linear) and $p=2$ (quadratic). The expansion as
$a\to0+$ consists of an infinite number of asymptotic sums involving the
Riemann zeta function, which when optimally truncated lead to remainder terms
that are exponentially small in the parameter $a$. The number of these
exponentially small terms associated with each optimally truncated asymptotic
sum is found to increase with $p$.

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The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: supr-con