Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomization of the Chern--Fu--Tang conjecture   Bessenrodt and Ono's work on additive and multiplicative properties of the
partition function and DeSalvo and Pak's paper on the log-concavity of the
partition function have generated many beautiful theorems and conjectures. In
January 2020, the first author gave a lecture at the MPIM in Bonn on a
conjecture of Chern--Fu--Tang, and presented an extension (joint work with
Neuhauser) involving polynomials. Partial results have been announced.
Bringmann, Kane, Rolen and Tripp provided complete proof of the Chern--Fu--Tang
conjecture, following advice from Ono to utilize a recently provided exact
formula for the fractional partition functions. They also proved a large
proportion of Heim--Neuhauser's conjecture, which is the polynomization of
Chern--Fu--Tang's conjecture. We prove several cases, not covered by Bringmann
et.\ al. Finally, we lay out a general approach for proving the conjecture.

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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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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: bayes-an