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Sequences, groups, and number theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Sequences, groups, and number theory/ edited by Valerie Berthe, Michel Rigo.
other author:	Berthe, Valerie.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxvi, 578 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Number theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-69152-7
ISBN:	9783319691527

Sequences, groups, and number theory
Sequences, groups, and number theory[electronic resource] /edited by Valerie Berthe, Michel Rigo. - Cham :Springer International Publishing :2018. - xxvi, 578 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

General Framework -- Number Theoretic Aspects of Regular Sequences -- First-order Logic and Numeration System -- Some Applications of Algebra to Automatic Sequences -- Avoiding or Limiting Regularities in Words -- Coloring Problems for Infinite Words -- Normal Numbers and Computer Science -- Normal Numbers and Symbolic Dynamics -- About the Domino Problem for Subshifts on Groups -- Automation (Semi)Groups: Wang Tilings and Schreier Tries -- Amenability of Groups and G-Sets -- Index -- References.

This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.

ISBN: 9783319691527

Standard No.: 10.1007/978-3-319-69152-7doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241 / .S478 2018

Dewey Class. No.: 512.7

Sequences, groups, and number theory
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245 0 0 $a Sequences, groups, and number theory $h [electronic resource] / $c edited by Valerie Berthe, Michel Rigo.
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300 $a xxvi, 578 p. : $b ill., digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-0215
505 0 $a General Framework -- Number Theoretic Aspects of Regular Sequences -- First-order Logic and Numeration System -- Some Applications of Algebra to Automatic Sequences -- Avoiding or Limiting Regularities in Words -- Coloring Problems for Infinite Words -- Normal Numbers and Computer Science -- Normal Numbers and Symbolic Dynamics -- About the Domino Problem for Subshifts on Groups -- Automation (Semi)Groups: Wang Tilings and Schreier Tries -- Amenability of Groups and G-Sets -- Index -- References.
520 $a This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
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650 2 4 $a Combinatorics. $3 669353
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Discrete Mathematics in Computer Science. $3 670123
700 1 $a Berthe, Valerie. $3 1202730
700 1 $a Rigo, Michel. $3 1060186
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950 $a Mathematics and Statistics (Springer-11649)