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＜電子ブック＞
The Riemann Problem, Complete Integrability and Arithmetic Applications : Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France and at Columbia University, NY, USA 1979-1980 / edited by D. Chudnovsky, G. Chudnovsky
(Lecture Notes in Mathematics. ISSN:16179692 ; 925)

版	1st ed. 1982.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1982
大きさ	VIII, 376 p : online resource
著者標目	Chudnovsky, D editor Chudnovsky, G editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	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 Schröedinger 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 padé approximants and their generalizations -- Note on generalized jacobi polynomials -- Multidimensional hermite interpolation and Padé approximation -- Hermite-padé 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 HTTP:URL=https://doi.org/10.1007/BFb0093494

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