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Title: On some polynomials and continued fractions arising in the theory of integrable systems
Author: Grosset, Marie-Pierre
ISNI:       0000 0001 3521 2415
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2007
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This thesis consists of two parts. In the first part an elliptic generalisation of the Bernoulli polynomials is introduced and investigated. We first consider the Faulhaber polynomials which are simply related to the even Bernoulli polynomials and generalise them in relation with the classical Lame equation using the integrals of the Korteweg-de-Vries equation. An elliptic version of the odd Bernoulli polynomials is defined in relation to the quantum Euler top. These polynomials are applied to compute the Lame spectral polynomials and the densities of states of the Lame operators.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available