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Ergodic Properties of Algebraic Fields
Yurij V. Linnik
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Description for Ergodic Properties of Algebraic Fields
Paperback. Translator(s): Keane, M. S. Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge. Num Pages: 194 pages, biography. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 11. Weight in Grams: 323.
The applications of ergodic theory to metric number theory are well known; part of the latter theory turns out to be essentially a special case of general ergodic theorems. In the present book other applications of ergodic concepts are presented. Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases. These theorems permit asymptotic calculations of the distributions of integral points on such manifolds, and we arrive at results inaccessible up to now by the usual methods of analytic number theory. ... Read more
The applications of ergodic theory to metric number theory are well known; part of the latter theory turns out to be essentially a special case of general ergodic theorems. In the present book other applications of ergodic concepts are presented. Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases. These theorems permit asymptotic calculations of the distributions of integral points on such manifolds, and we arrive at results inaccessible up to now by the usual methods of analytic number theory. ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
194
Condition
New
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge
Number of Pages
194
Place of Publication
Berlin, Germany
ISBN
9783642866333
SKU
V9783642866333
Shipping Time
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Ref
99-15
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