Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nahm's Conjecture: Asymptotic Computations and Counterexamples   We consider certain q-series depending on parameters (A,B,C), where A is a
positive definite r times r matrix, B is an r-vector and C is a scalar, and ask
when these q-series are modular forms. Werner Nahm conjectured a criterion for
which A's can occur, in terms of torsion in the Bloch group. The conjecture was
proved by Don Zagier and Michael Terhoeven for r=1. We develop their approach
for r>1 and find several new examples of modular forms as well as some
counterexamples to Nahm's conjecture.

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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess