91 citations · 871 across the 69 of their papers we have counts for
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On solutions of the KZ and qKZ equations at level zero
A. Nakayashiki, S. Pakuliak, V. Tarasov
We discuss relations between different formulae for solutions of the Knizhnik-Zamolodchikov differential and the quantum Knizhnik-Zamolodchikov difference equations at level 0 and…
The Determinant of a Hypergeometric Period Matrix
Y. Markov, V. Tarasov, A. Varchenko
We consider a function on a real affine space, here are linear functions, complex numbers. The zeros of the functions $f…
Bilinear Identity for q-Hypergeometric Integrals
Vitaly Tarasov
We describe a bilinear identity satisfied by certain multidimensional q-hypergeometric integrals. The identity can be considered as a deformation of the Riemann bilinear relation f…
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations
Giovanni Felder, Vitaly Tarasov, Alexander Varchenko
The elliptic quantum Knizhnik-Zamolodchikov-Bernard (qKZB) difference equations associated to the elliptic quantum group is a system of difference equations with va…
Geometry of q-Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups
Vitaly Tarasov, Alexander Varchenko
The trigonometric quantized Knizhnik-Zamolodchikov equation (qKZ equation) associated with the quantum group is a system of linear difference equations with values in a…