Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A product formula for the higher rank Drinfeld discriminant function   We give a product expansion for the Drinfeld discriminant function in
arbitrary rank $r$, which generalizes the formula obtained by Gekeler for the
rank 2 Drinfeld discriminant function. This enables one to compute the Fourier
expansion of this function much more efficiently.
  The formula in this article uses an $r-1$-dimensional parameter and as such
provides a nice counterpoint to the formula previously obtained by Hamahata,
which is written in terms of several 1-dimensional parameters.

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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th