The Guest Editors for this special issue are

Sergey Derkachov (St.Petersburg Department of Steklov Institute of Mathematics, Russia)
Tom Koornwinder (Universiteit van Amsterdam, the Netherlands)
Alexander Manashov (St.Petersburg State University, Russia)
Orlando Ragnisco (Universita di Roma Tre, Italy)
Evgueni Sklyanin (University of York, UK)
Andrey Tsiganov (St.Petersburg State University, Russia).

This issue includes papers from the fields in which Vadim worked: separation of variables, classical and quantum integrable systems, orthogonal polynomials and special functions, and other related fields. The works presented here were mostly motivated by the research and organisational work done by Vadim Kuznetsov.

Some of the papers have brief recollections of the meetings with Vadim. See for instance the papers by Aratyn & van de Leur, Grünbaum, Hone, Koornwinder, Langmann, Loutsenko & Spiridonov, Mangazeev, Sinitsyn & Zhilinskii. Please see the paper by his first adviser Igor V. Komarov for Vadim's short biography and his list of publications.

The issue contains 56 papers with the total of 957 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reviews.

Papers in this Issue:

Bäcklund Transformation for the BC-Type Toda Lattice

Vadim Kuznetsov and Evgeny Sklyanin
SIGMA 3 (2007), 080, 17 pages   [ abs   pdf   ps ]

Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser

Igor V. Komarov
SIGMA 3 (2007), 074,  6 pages   [ abs   pdf   ps ]

Skew Divided Difference Operators and Schubert Polynomials

Anatol N. Kirillov
SIGMA 3 (2007), 072, 14 pages   [ abs   pdf   ps ]

Hamilton-Jacobi Theory and Moving Frames

Joshua D. MacArthur, Raymond G. McLenaghan and Roman G. Smirnov
SIGMA 3 (2007), 070, 23 pages   [ abs   pdf   ps ]

Yangian of the Strange Lie Superalgebra of Q_n-1 Type, Drinfel'd Approach

Vladimir Stukopin
SIGMA 3 (2007), 069, 12 pages   [ abs   pdf   ps ]

Teichmüller Theory of Bordered Surfaces

Leonid O. Chekhov
SIGMA 3 (2007), 066, 37 pages   [ abs   pdf   ps ]

The Rahman Polynomials Are Bispectral

F. Alberto Grünbaum
SIGMA 3 (2007), 065, 11 pages   [ abs   pdf   ps ]

The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case

Tom H. Koornwinder
SIGMA 3 (2007), 063, 15 pages   [ abs   pdf   ps ]

Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility

Artur Sergyeyev
SIGMA 3 (2007), 062, 14 pages   [ abs   pdf   ps ]

Completely Integrable Systems Associated with Classical Root Systems

Toshio Oshima
SIGMA 3 (2007), 061, 50 pages   [ abs   pdf   ps ]

Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko
SIGMA 3 (2007), 060, 31 pages   [ abs   pdf   ps ]

A Critical Phenomenon in Solitonic Ising Chains

Igor M. Loutsenko and Vyacheslav P. Spiridonov
SIGMA 3 (2007), 059, 11 pages   [ abs   pdf   ps ]

From su(2) Gaudin Models to Integrable Tops

Matteo Petrera and Orlando Ragnisco
SIGMA 3 (2007), 058, 14 pages   [ abs   pdf   ps ]

On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source

N. Gurappa, Pankaj K. Jha and Prasanta K. Panigrahi
SIGMA 3 (2007), 057,  6 pages   [ abs   pdf   ps ]

Macdonald Polynomials and Multivariable Basic Hypergeometric Series

Michael J. Schlosser
SIGMA 3 (2007), 056, 30 pages   [ abs   pdf   ps ]

Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

Alexander Sakhnovich
SIGMA 3 (2007), 054, 11 pages   [ abs   pdf   ps ]

Density of Eigenvalues of Random Normal Matrices with an Arbitrary Potential, and of Generalized Normal Matrices

Pavel Etingof and Xiaoguang Ma
SIGMA 3 (2007), 048, 13 pages   [ abs   pdf   ps ]

Qualitative Analysis of the Classical and Quantum Manakov Top

Evguenii Sinitsyn and Boris Zhilinskii
SIGMA 3 (2007), 046, 23 pages   [ abs   pdf   ps ]

Spectral Curves of Operators with Elliptic Coefficients

J. Chris Eilbeck, Victor Z. Enolski and Emma Previato
SIGMA 3 (2007), 045, 17 pages   [ abs   pdf   ps ]

A Discretization of the Nonholonomic Chaplygin Sphere Problem

Yuri N. Fedorov
SIGMA 3 (2007), 044, 15 pages   [ abs   pdf   ps ]

Hamiltonian Structure of PI Hierarchy

Kanehisa Takasaki
SIGMA 3 (2007), 042, 32 pages   [ abs   pdf   ps ]

Phase Space of Rolling Solutions of the Tippe Top

S. Torkel Glad, Daniel Petersson and Stefan Rauch-Wojciechowski
SIGMA 3 (2007), 041, 14 pages   [ abs   pdf   ps ]

q-Boson in Quantum Integrable Systems

Anjan Kundu
SIGMA 3 (2007), 040, 14 pages   [ abs   pdf   ps ]

N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions

Vladimir S. Gerdjikov, Nikolay A. Kostov and Tihomir I. Valchev
SIGMA 3 (2007), 039, 19 pages   [ abs   pdf   ps ]

Towards Finite-Gap Integration of the Inozemtsev Model

Kouichi Takemura
SIGMA 3 (2007), 038, 17 pages   [ abs   pdf   ps ]

A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems

Sergio Benenti
SIGMA 3 (2007), 036, 33 pages   [ abs   pdf   ps ]

A Note on the Rotationally Symmetric SO(4) Euler Rigid Body

Gregorio Falqui
SIGMA 3 (2007), 032, 13 pages   [ abs   pdf   ps ]

Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones

Edwin Langmann
SIGMA 3 (2007), 031, 18 pages   [ abs   pdf   ps ]

The 6 Vertex Model and Schubert Polynomials

Alain Lascoux
SIGMA 3 (2007), 029, 12 pages   [ abs   pdf   ps ]

Bethe Ansatz for the Ruijsenaars Model of BC₁-Type

Oleg Chalykh
SIGMA 3 (2007), 028,  9 pages   [ abs   pdf   ps ]

Quantum Super-Integrable Systems as Exactly Solvable Models

Allan P. Fordy
SIGMA 3 (2007), 025, 10 pages   [ abs   pdf   ps ]

Laurent Polynomials and Superintegrable Maps

Andrew N.W. Hone
SIGMA 3 (2007), 022, 18 pages   [ abs   pdf   ps ]

Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds

Claudia Chanu and Giovanni Rastelli
SIGMA 3 (2007), 021, 21 pages   [ abs   pdf   ps ]

Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows

Henrik Aratyn and Johan van de Leur
SIGMA 3 (2007), 020, 29 pages   [ abs   pdf   ps ]

Separation of Variables and the Geometry of Jacobians

Jacques Hurtubise
SIGMA 3 (2007), 017, 14 pages   [ abs   pdf   ps ]

KP Trigonometric Solitons and an Adelic Flag Manifold

Luc Haine
SIGMA 3 (2007), 015, 15 pages   [ abs   pdf   ps ]

An Analytic Formula for the A₂ Jack Polynomials

Vladimir V. Mangazeev
SIGMA 3 (2007), 014, 11 pages   [ abs   pdf   ps ]

Relativistic Toda Chain with Boundary Interaction at Root of Unity

Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura and Yuri Tykhyy
SIGMA 3 (2007), 013, 14 pages   [ abs   pdf   ps ]

Asymmetric Twin Representation: the Transfer Matrix Symmetry

Anastasia Doikou
SIGMA 3 (2007), 009, 19 pages   [ abs   pdf   ps ]

Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

Rei Inoue and Yukiko Konishi
SIGMA 3 (2007), 007, 16 pages   [ abs   pdf   ps ]

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity

Alexander V. Shapovalov, Roman O. Rezaev and Andrey Yu. Trifonov
SIGMA 3 (2007), 005, 16 pages   [ abs   pdf   ps ]

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Luc Vinet and Alexei Zhedanov
SIGMA 3 (2007), 003, 18 pages   [ abs   pdf   ps ]

Raising and Lowering Operators for Askey-Wilson Polynomials

Siddhartha Sahi
SIGMA 3 (2007), 002, 11 pages   [ abs   pdf   ps ]

Invariant Varieties of Periodic Points for the Discrete Euler Top

Satoru Saito and Noriko Saitoh
SIGMA 2 (2006), 098, 10 pages   [ abs   pdf   ps ]

On the Darboux-Nijenhuis Variables for the Open Toda Lattice

Yuriy A. Grigoryev and Andrey V. Tsiganov
SIGMA 2 (2006), 097, 15 pages   [ abs   pdf   ps ]

Restricted Flows and the Soliton Equation with Self-Consistent Sources

Runliang Lin, Haishen Yao and Yunbo Zeng
SIGMA 2 (2006), 096,  8 pages   [ abs   pdf   ps ]

Bethe Ansatz Solutions of the Bose-Hubbard Dimer

Jon Links and Katrina E. Hibberd
SIGMA 2 (2006), 095,  8 pages   [ abs   pdf   ps ]

On the One Class of Hyperbolic Systems

Vsevolod E. Adler and Alexey B. Shabat
SIGMA 2 (2006), 093, 17 pages   [ abs   pdf   ps ]

A q-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra

Mark J. Hopkins and Alexander I. Molev
SIGMA 2 (2006), 092, 29 pages   [ abs   pdf   ps ]

Solvable Nonlinear Evolution PDEs in Multidimensional Space

Francesco Calogero and Matteo Sommacal
SIGMA 2 (2006), 088, 17 pages   [ abs   pdf   ps ]

Multivariable Christoffel-Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices

Hjalmar Rosengren
SIGMA 2 (2006), 085, 12 pages   [ abs   pdf   ps ]

R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

Sergey É. Derkachov and Alexander N. Manashov
SIGMA 2 (2006), 084, 20 pages   [ abs   pdf   ps ]

A Formula for the Logarithm of the KZ Associator

Benjamin Enriquez and Fabio Gavarini
SIGMA 2 (2006), 080,  3 pages   [ abs   pdf   ps ]

Coupled Modified KP Hierarchy and Its Dispersionless Limit

Takashi Takebe and Lee-Peng Teo
SIGMA 2 (2006), 072, 30 pages   [ abs   pdf   ps ]

Generalized Ellipsoidal and Sphero-Conal Harmonics

Hans Volkmer
SIGMA 2 (2006), 071, 16 pages   [ abs   pdf   ps ]

Integrable Models of Interaction of Matter with Radiation

Vladimir I. Inozemtsev and Natalia G. Inozemtseva
SIGMA 2 (2006), 069,  9 pages   [ abs   pdf   ps ]