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TitleThe Riemann Problem, Complete Integrability and Arithmetic Applications [electronic resource] : Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur Yvette, France, and at Columbia University, New York, U.S.A., 1979-1980 / edited by David V. Chudnovsky, Gregory V. Chudnovsky
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1982
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Descript VIII, 376 p. online resource


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 Schrรถedinger 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 padรฉ approximants and their generalizations -- Note on generalized jacobi polynomials -- Multidimensional hermite interpolation and Padรฉ approximation -- Hermite-padรฉ 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

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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