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

Author(s)

• Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
• Chudnovsky, David V.
• Chudnovsky, Gregory V.

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

edited by D. Chudnovsky and G. Chudnovsky

（Lecture notes in mathematics, 925）

Springer-Verlag, 1982

• : Berlin
• : New York

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.

by "Nielsen BookData"

Details

• NCID: BA00671611
• ISBN:
  • 3540114831
  • 0387114831
• LCCN: 82005634
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: vi, 373 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA379
  • DC19 : 510 s
  • DC19 : 515.3/5
  • NDC8 : 413.67
• Subject Headings:
  • LCSH : Boundary value problems
  • LCSH : Riemann-Hilbert problems
  • LCSH : Spectral theory (Mathematics)
  • LCSH : Padé approximant
  • NDLSH : 境界値問題
• Parent Bibliography ID:
  • BA00146586