Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Warnaar's bijection and colored partition identities, I   We provide a general and unified combinatorial framework for a number of
colored partition identities, which include the five, recently proved
analytically by B. Berndt, that correspond to the exceptional modular equations
of prime degree due to H. Schroeter, R. Russell and S. Ramanujan. Our approach
generalizes that of S. Kim, who has given a bijective proof for two of these
five identities, namely the ones modulo 7 (also known as the Farkas-Kra
identity) and modulo 3. As a consequence of our method, we determine bijective
proofs also for the two highly nontrivial identities modulo 5 and 11, thus
leaving open combinatorially only the one modulo 23.

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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph