Coverart for item
The Resource Ramanujan's lost notebook, Part III, George E. Andrews, Bruce C. Berndt

Ramanujan's lost notebook, Part III, George E. Andrews, Bruce C. Berndt

Label
Ramanujan's lost notebook, Part III
Title
Ramanujan's lost notebook
Title number
Part III
Statement of responsibility
George E. Andrews, Bruce C. Berndt
Creator
Contributor
Subject
Genre
Language
eng
Summary
Annotation
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1938-
http://library.link/vocab/creatorName
Andrews, George E.
Dewey number
512.7
Illustrations
portraits
Index
index present
LC call number
  • QA29.R3
  • QA241
LC item number
  • A73 2005 pt. 3
  • .A537 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1939-
http://library.link/vocab/relatedWorkOrContributorName
Berndt, Bruce C.
http://library.link/vocab/subjectName
  • Ramanujan Aiyangar, Srinivasa
  • Mathematicians
  • Number theory
  • Functions
  • Ramanujan Aiyangar, Srinivasa
  • MATHEMATICS
  • Functions
  • Mathematicians
  • Number theory
  • India
Summary expansion
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujans lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers-Ramanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."--MathSciNet. Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step ... on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."--Gazette of the Australian Mathematical Society
Label
Ramanujan's lost notebook, Part III, George E. Andrews, Bruce C. Berndt
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 413-429) 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
Contents
  • Circular Summation
  • Highly Composite Numbers
  • Introduction
  • Ranks and Cranks, Part I
  • Ranks and Cranks, Part II
  • Ranks and Cranks, Part III
  • Ramanujan's Unpublished Manuscript on the Partition and Tau Functions
  • Theorems about the Partition Function on Pages 189 and 182
  • Congruences for Generalized Tau Functions on Page 178
  • Ramanujan's Forty Identities for the Rogers-Ramanujan Functions
Control code
795503073
Dimensions
unknown
Extent
1 online resource (xi, 435 pages)
File format
unknown
Form of item
online
Isbn
9781461438106
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-1-4614-3810-6
  • 9781461438090
  • 9786613711175
Other physical details
portraits (some color)
http://library.link/vocab/ext/overdrive/overdriveId
371117
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795503073
Label
Ramanujan's lost notebook, Part III, George E. Andrews, Bruce C. Berndt
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 413-429) 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
Contents
  • Circular Summation
  • Highly Composite Numbers
  • Introduction
  • Ranks and Cranks, Part I
  • Ranks and Cranks, Part II
  • Ranks and Cranks, Part III
  • Ramanujan's Unpublished Manuscript on the Partition and Tau Functions
  • Theorems about the Partition Function on Pages 189 and 182
  • Congruences for Generalized Tau Functions on Page 178
  • Ramanujan's Forty Identities for the Rogers-Ramanujan Functions
Control code
795503073
Dimensions
unknown
Extent
1 online resource (xi, 435 pages)
File format
unknown
Form of item
online
Isbn
9781461438106
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-1-4614-3810-6
  • 9781461438090
  • 9786613711175
Other physical details
portraits (some color)
http://library.link/vocab/ext/overdrive/overdriveId
371117
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795503073

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