8 citations · 19 across the 3 of their papers we have counts for
3 papers
math.QA2017★ 8 cited
Genus Two Generalization of spherical DAHA
S. Arthamonov, Sh. Shakirov
We consider a system of three commuting difference operators in three variables with two generic complex parameters . This system and its eigenfunctions…
nlin.SI2012★ 3 cited
New 2x2-matrix linear problems for the Painleve equations
G. Aminov, S. Arthamonov
We construct 2x2-matrix linear problems with a spectral parameter for the Painleve equations I-V by means of the degeneration processes from the elliptic linear problem for the Pai…
nlin.SI2010★ 8 cited
Reduction of the Elliptic SL(N,C) top
G. Aminov, S. Arthamonov
We propose a relation between the elliptic SL(N,C) top and Toda systems and obtain a new class of integrable systems in a specific limit of the elliptic SL(N,C) top. The relation i…