Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connection coefficients for basic Harish-Chandra series   Basic Harish-Chandra series are asymptotically free meromorphic solutions of
the system of basic hypergeometric difference equations associated to root
systems. The associated connection coefficients are explicitly computed in
terms of Jacobi theta functions. We interpret the connection coefficients as
the transition functions for asymptotically free meromorphic solutions of
Cherednik's root system analogs of the quantum Knizhnik-Zamolodchikov
equations. They thus give rise to explicit elliptic solutions of root system
analogs of dynamical Yang-Baxter and reflection equations. Applications to
quantum c-functions, basic hypergeometric functions, reflectionless difference
operators and multivariable Baker-Akhiezer functions are discussed.

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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
5
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: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th