Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the vanishing of coefficients of the powers of a theta function   A result on the Galois theory of $q$-difference equations \cite{JSTALPAEN}
leads to the following question: if $q \in \Cs$, $\lmod q \rmod < 1$ and if one
sets $\thq(z) := \sum\limits_{m \in \Z} q^{m(m-1)/2} z^m$, can some
coefficients of the Laurent series expansion of $\theta_q^k(z)$, $k \in \N^*$,
vanish ? We give a partial answer.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas