The Riemann problem, complete integrability and arithmetic applications : proceedings of a seminar held at the Institut des hautes études scientifiques, Bures-sur-Yvette, France, and at Columbia University, New York, U.S.A., 1979-1980
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Bibliographic Information
The Riemann problem, complete integrability and arithmetic applications : proceedings of a seminar held at the Institut des hautes études scientifiques, Bures-sur-Yvette, France, and at Columbia University, New York, U.S.A., 1979-1980
(Lecture notes in mathematics, 925)
Springer-Verlag, 1982
- : Berlin
- : New York
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Library & Science Information Center, Osaka Prefecture University
: BerlinNDC8:410.8||||10007289651
Note
Includes bibliographical references and index
Description and Table of Contents
Description
Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
Table of Contents
Continuous exponents of spin correlation functions of inhomogeneous layered ising models.- to holonomic quantum fields.- Planar ising ferromagnet: correlation functions and the inverse scattering method.- Infinite component ?-models and instanton solutions.- Infinite component two-dimensional completely integrable systems of KdV type.- The representation of an arbitrary, two-dimensional completely integrable system as the common action of two commuting one-dimensional Hamiltonian flows.- Self-duality of Yang-Mills fields and of gravitational instantons.- On proving the nonintegrability of a Hamiltonian system.- Classical solutions in nonlinear Euclidean field theory and complete integrability.- Hamiltonian structure of isospectral deformation equations. Elliptic curve case.- Quantum Hamiltonians associated with finite-dimensional Lie algebras and factorized s-matrices.- Classical and quantum operator nonlinear schrodinger equation. I.- Trace identities for the Schroeedinger operator and the WKB method.- Zeta functions of the quartic (and homogeneous anharmonic) oscillators.- On trace formula.- Resolvent and trace identities in the one dimensional case.- The devil's stair case transformation in incommensurate lattices.- The convergence of pade approximants and their generalizations.- Note on generalized jacobi polynomials.- Multidimensional hermite interpolation and Pade approximation.- Hermite-pade approximations to exponential functions and elementary estimates of the measure of irrationality of ?.- Criteria of algebraic independence of several numbers.- Rational approximation for non-linear ordinary differential equations.
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