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020 _a9783540391524
_9978-3-540-39152-4
024 7 _a10.1007/BFb0093494
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
245 1 4 _aThe Riemann Problem, Complete Integrability and Arithmetic Applications
_h[electronic resource] :
_bProceedings 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 /
_cedited by David V. Chudnovsky, Gregory V. Chudnovsky.
246 3 _aSeminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1982.
300 _aVIII, 376 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v925
505 0 _aContinuous 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.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aChudnovsky, David V.
_eeditor.
_4edt
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700 1 _aChudnovsky, Gregory V.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662203774
776 0 8 _iPrinted edition:
_z9783540114833
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v925
856 4 0 _uhttps://doi.org/10.1007/BFb0093494
912 _aZDB-2-SMA
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