Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An asymptotic expansion for a Lambert series associated to the symmetric
  square $L$-function   Hafner and Stopple proved a conjecture of Zagier, that the inverse Mellin
transform of the symmetric square $L$-function associated to the Ramanujan tau
function has an asymptotic expansion in terms of the non-trivial zeros of the
Riemann zeta function $\zeta(s)$. Later, Chakraborty, Kanemitsu and the second
author extended this phenomenon for any Hecke eigenform over the full modular
group. In this paper, we study an asymptotic expansion of the Lambert series
\begin{equation*} y^k \sum_{n=1}^\infty \lambda_{f}( n^2 ) \exp (- ny), \quad
\textrm{as}\,\, y \rightarrow 0^{+}, \end{equation*} where $\lambda_f(n)$ is
the $n$th Fourier coefficient of a Hecke eigen form $f(z)$ of weight $k$ over
the full modular group.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex