Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of the full rank in residue classes for odd moduli   The distribution of values of the full ranks of marked Durfee symbols is
examined in prime and nonprime arithmetic progressions. The relative
populations of different residues for the same modulus are determined: the
primary result is that k-marked Durfee symbols of n equally populate the
residue classes a and b mod 2k+1 if gcd(a,2k+1)=gcd(b,2k+1). These are used to
construct a few congruences. The general procedure is illustrated with a
particular theorem on 4-marked symbols for multiples of 3.

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: nucl-th