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The Resource Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada

Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada

Label
Contributions to the theory of zeta-functions : the modular relation supremacy
Title
Contributions to the theory of zeta-functions
Title remainder
the modular relation supremacy
Statement of responsibility
Shigeru Kanemitsu & Haruo Tsukada
Creator
Contributor
Author
Subject
Language
eng
Summary
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations {u2014} zeta symmetry {u2014} which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions. Readership: Graduate students and researchers in functional equations and special functions. --Provided by publisher
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Kanemitsu, Shigeru
Dewey number
515/.56
Illustrations
illustrations
Index
index present
LC call number
QA351
LC item number
.K33 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1961-
http://library.link/vocab/relatedWorkOrContributorName
Tsukada, Haruo
Series statement
Series on number theory and its applications
Series volume
vol. 10
http://library.link/vocab/subjectName
  • Functions, Zeta
  • Functional equations
  • Mathematics
  • Functions, Zeta
  • Functional equations
  • Mathematics
  • Functional equations
  • Functions, Zeta
  • Mathematics
Label
Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
I. Prelude -- II. Grocery of special functions -- III. Unprocessed modular relations -- IV. Fourier-Bessel expansion -- V. The Ewald expansion or the incomplete gamma series -- VI. The Riesz Sums -- VII. The General Modular Relation -- VIII. The Hecke Type Zeta-functions -- IX. The product of zeta-functions -- X. Miscellany
Control code
822895932
Dimensions
25 cm
Extent
xii, 303 pages
Isbn
9789814449618
Lccn
2014041588
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)822895932
Label
Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
I. Prelude -- II. Grocery of special functions -- III. Unprocessed modular relations -- IV. Fourier-Bessel expansion -- V. The Ewald expansion or the incomplete gamma series -- VI. The Riesz Sums -- VII. The General Modular Relation -- VIII. The Hecke Type Zeta-functions -- IX. The product of zeta-functions -- X. Miscellany
Control code
822895932
Dimensions
25 cm
Extent
xii, 303 pages
Isbn
9789814449618
Lccn
2014041588
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)822895932

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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