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
Resource Information
The item Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Contributions to the theory of zeta-functions : the modular relation supremacy, Shigeru Kanemitsu & Haruo Tsukada represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- xii, 303 pages
- 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
- Isbn
- 9789814449618
- 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
- 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
- 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
- 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
- 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
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