42 citations · 206 across the 23 of their papers we have counts for
24 papers
Poisson brackets after Jacobi and Plucker
Pantelis A. Damianou
We construct a symplectic realization and a bi-hamiltonian formulation of a 3-dimensional system whose solution are the Jacobi elliptic functions. We generalize this system and the…
Monic polynomials in with roots in the unit disc
Pantelis A. Damianou
This note is motivated by an old result of Kronecker on monic polynomials with integer coefficients having all their roots in the unit disc. We call such polynomials Kronecker poly…
Symmetries of Toda Equations
Pantelis A. Damianou
We find a sequence consisting of time dependent evolution vector fields whose time independent part corresponds to the master symmetries for the Toda equations. Each master symmetr…
Multiple Hamiltonian Structures for Toda-type systems
Pantelis A. Damianou
Results on the finite nonperiodic Toda lattice are extended to some generalizations of the system: The relativistic Toda lattice, the generalized Toda lattice associated with simpl…
Characteristic and Coxeter polynomials for affine Lie algebras
Pantelis A. Damianou, Charalampos A. Evripidou
We compute the characteristic polynomials of affine Cartan, adjacency matrices and Coxeter polynomials of the associated Coxeter system using Chebyshev polynomials. We give explici…
A Theorem involving the denominators of Bernoulli numbers
Pantelis A. Damianou, Peter Schumer
Consider the average of the first n k-th powers. We pose and answer the following natural question: For which values of n and k is this average an integer? If k is odd the answer i…