9 citations · 31 across the 6 of their papers we have counts for
5 papers · 1 filter
Elliptic Faulhaber polynomials and Lamé densities of states
M. -P. Grosset, A. P. Veselov
A generalisation of the Faulhaber polynomials and Bernoulli numbers related to elliptic curves is introduced and investigated. This is applied to compute the density of states for…
Lamé equation, quantum top and elliptic Bernoulli polynomials
M. -P. Grosset, A. P. Veselov
A generalisation of the odd Bernoulli polynomials related to the quantum Euler top is introduced and investigated. This is applied to compute the coefficients of the spectral polyn…
Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
A. N. Sergeev, A. P. Veselov
It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties (called generalised discriminants) of th…
Yang-Baxter maps and matrix solitons
V. M. Goncharenko, A. P. Veselov
New examples of the Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) on the Grassmannians arising from the theory of the matrix KdV equation are…
Quasi-invariants and quantum integrals of the deformed Calogero--Moser systems
M. Feigin, A. P. Veselov
The rings of quantum integrals of the generalized Calogero-Moser systems related to the deformed root systems and with integer multiplicities and…