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The Resource Diophantine approximation and Dirichlet series, Hervé Queffélec and Martine Queffélec, (electronic book)

Diophantine approximation and Dirichlet series, Hervé Queffélec and Martine Queffélec, (electronic book)

Label
Diophantine approximation and Dirichlet series
Title
Diophantine approximation and Dirichlet series
Statement of responsibility
Hervé Queffélec and Martine Queffélec
Creator
Contributor
Author
Subject
Language
eng
Summary
This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the book is divided into seven chapters, the first three of which present tools from commutative harmonic analysis, including a sharp form of the uncertainty principle, ergodic theory and Diophantine approximation to be used in the sequel. A presentation of continued fraction expansions, including the mixing property of the Gauss map, is given. Chapters four and five present the general theory of Dirichlet series, with classes of examples connected to continued fractions, the famous Bohr point of view, and then the use of random Dirichlet series to produce non-trivial extremal examples, including sharp forms of the Bohnenblust-Hille theorem. Chapter six deals with Hardy-Dirichlet spaces, which are new and useful Banach spaces of analytic functions in a half-plane. Finally, chapter seven presents the Bagchi-Voronin universality theorems, for the zeta function, and r-tuples of L functions. The proofs, which mix hilbertian geometry, complex and harmonic analysis, and ergodic theory, are a very good illustration of the material studied earlier
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Queffélec, Hervé
Dewey number
512.7/3
Illustrations
illustrations
Index
index present
LC call number
QA242
LC item number
.Q44 2013eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Queffélec, Martine
Series statement
Harish-Chandra Research Institute lecture notes
Series volume
2
http://library.link/vocab/subjectName
  • Diophantine approximation
  • Diophantine approximation
  • Dirichlet series
  • Dirichlet series
Label
Diophantine approximation and Dirichlet series, Hervé Queffélec and Martine Queffélec, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 223-228) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (xii, 232 pages)
File format
unknown
Form of item
online
Isbn
9789386279613
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-93-86279-61-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)998623201
  • ocn998623201
Label
Diophantine approximation and Dirichlet series, Hervé Queffélec and Martine Queffélec, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 223-228) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (xii, 232 pages)
File format
unknown
Form of item
online
Isbn
9789386279613
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-93-86279-61-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)998623201
  • ocn998623201

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