Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit values for Ramanujan's theta function $\varphi(q)$   This paper provides a survey of particular values of Ramanujan's theta
function $\varphi(q)=\sum_{n=-\infty}^{\infty}q^{n^2}$, when
$q=e^{-\pi\sqrt{n}}$, where $n$ is a positive rational number. First,
descriptions of the tools used to evaluate theta functions are given. Second,
classical values are briefly discussed. Third, certain values due to Ramanujan
and later authors are given. Fourth, the methods that are used to determine
these values are described. Lastly, an incomplete evaluation found in
Ramanujan's lost notebook, but now completed and proved, is discussed with a
sketch of its proof.

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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol