Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rank-Crank type PDEs and generalized Lambert series identities   We show how Rank-Crank type PDEs for higher order Appell functions due to
Zwegers may be obtained from a generalized Lambert series identity due to the
first author. Special cases are the Rank-Crank PDE due to Atkin and the third
author and a PDE for a level 5 Appell function also found by the third author.
These two special PDEs are related to generalized Lambert series identities due
to Watson, and Jackson respectively. The first author's Lambert series
identities are common generalizations. We also show how Atkin and
Swinnerton-Dyer's proof using elliptic functions can be extended to prove these
generalized Lambert series identities.

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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an