Ergodic properties of algebraic fields / Yu V. Linnik ; traducido por M.S. Keane

By: Linnik, Yuri Vladimirovich, 1915-1972 [autor]
Contributor(s): Keane, M. S, 1940- [traductor]
Material type: TextTextLanguage: English Series: Ergebnisse der Mathematik und Ihrer grenzgebiete: 45Publisher: Berlín : Springer-Verlag, 1968Description: ix, 192 páginas ; 24 x 16 cmContent type: texto Media type: sin mediación Carrier type: volumenSubject(s): Teoría ergódica | Cuerpos algebraicosDDC classification: 512.55
Contents:
I.A summary of elementary ergodic theory and limit theorems of probability theory -- A summary of the arithmetic of quaternions and matrices -- Rotations of the sphere, binary quadratic forms, and quaternions -- Asymptotic geometrical and ergodic properties of the set of integral points on the sphere -- Flows of primitive points on a hyperboloid of two sheets. Asymptoticity of reduced binary forms in connection with Lobachevskian geometry -- Flows on primitive points on a hyperboloid of one sheet -- Algebraic fields of a more general type, VIII.Asymptotic distribution of integral 3x3 matrices -- Further generalizations. A connection with the generalizad Riemann hypothesis -- An arithmetic simulation of brownian motion -- Supplementary remarks -- Problems -Bibliography -- Author -- Index -- Subject -- Index.
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512.55 L758 (Browse shelf) Available BCMF14100955
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Bibliografía : página 188

I.A summary of elementary ergodic theory and limit theorems of probability theory -- A summary of the arithmetic of quaternions and matrices -- Rotations of the sphere, binary quadratic forms, and quaternions -- Asymptotic geometrical and ergodic properties of the set of integral points on the sphere -- Flows of primitive points on a hyperboloid of two sheets. Asymptoticity of reduced binary forms in connection with Lobachevskian geometry -- Flows on primitive points on a hyperboloid of one sheet -- Algebraic fields of a more general type, VIII.Asymptotic distribution of integral 3x3 matrices -- Further generalizations. A connection with the generalizad Riemann hypothesis -- An arithmetic simulation of brownian motion -- Supplementary remarks -- Problems -Bibliography -- Author -- Index -- Subject -- Index.

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