Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New combinatorial formula for modified Hall-Littlewood polynomials   We obtain new combinatorial formulae for modified Hall--Littlewood
polynomials, for matrix elements of the transition matrix between the
elementary symmetric functions and Hall-Littlewood's ones, and for the number
of rational points over the finite field of unipotent partial flag variety. The
definitions and examples of generalized mahonian statistic on the set of
transport matrices and dual mahonian statistic on the set of transport
(0,1)-matrices are given. We also review known q-analogues of
Littlewood-Richardson numbers and consider their possible generalizations.
Several conjectures about multinomial fermionic formulae for homogeneous
unrestricted one dimensional sums and generalized Kostka-Foulkes polynomials
are formulated. Finally we suggest two parameters deformations of polynomials
$P_{\lambda\mu}(t)$ and one dimensional sums.

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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph