Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Ramanujan’s Notebooks: Part V /
.
Bookmark this Record
Catalogue Record 44777
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44777
.
Reviews
Catalogue Record 44777
.
British Library
Resolver for RSN-44777
Google Scholar
Resolver for RSN-44777
WorldCat
Resolver for RSN-44777
Catalogo Nazionale SBN
Resolver for RSN-44777
GoogleBooks
Resolver for RSN-44777
ICTP Library
Resolver for RSN-44777
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
510
Title
Ramanujan’s Notebooks ([EBook] :) : Part V / / by Bruce C. Berndt.
Author
Berndt, Bruce C.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1998.
Physical Details
XIII, 624 p. : online resource.
ISBN
9781461216247
Summary Note
During the years 1903-1914, Ramanujan recorded most of his mathematical dis coveries without proofs in notebooks. Although many of his results had already been published by others, most had not. Almost a decade after Ramanujan's death in 1920, G. N. Watson and B. M. Wilson began to edit Ramanujan's notebooks, but, despite devoting over ten years to this project, they never completed their task. An unedited photostat edition of the notebooks was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fifth and final volume devoted to the editing of Ramanujan's notebooks. Parts I-III, published, respectively, in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in the second notebook, a revised enlarged edition of the first. Part IV, published in 1994, contains results from the 100 unorganized pages in the second notebook and the 33 unorganized pages comprising the third notebook. Also examined in Part IV are the 16 organized chapters in the first notebook, which contain very little that is not found in the second notebook. In this fifth volume, we examine the remaining contents from the 133 unorganized pages in the second and third notebooks, and the claims in the 198 unorganized pages of the first notebook that cannot be found in the succeeding notebooks.:
Contents note
32 Continued Fractions -- 1 The Rogers—Ramanujan Continued Fraction -- 2 Other q—Continued Fractions -- 3 Continued Fractions Arising from Products of Gamma Functions -- 4 Other Continued Fractions -- 5 General Theorems -- 33 Ramanujan’s Theories of Elliptic Functions to Alternative Bases -- 1 Introduction -- 2 Ramanujan’s Cubic Transformation, the Borweins’ Cubic Theta—Function Identity, and the Inversion Formula -- 3 The Principles of Triplication and Trimidiation -- 4 The Eisenstein Series L, M, and N -- 5 A Hypergeometric Transformation and Associated Transfer Principle -- 6 More Higher Order Transformations for Hypergeometric Series -- 7 Modular Equations in the Theory of Signature 3 -- 8 The Inversion of an Analogue of K (k) in Signature 3 -- 9 The Theory for Signature 4 -- 10 Modular Equations in the Theory of Signature 4 -- 11 The Theory for Signature 6 -- 12 An Identity from the First Notebook and Further Hypergeometric Transformations -- 13 Some Enigmatic Formulas Near the End of the Third Notebook -- 14 Concluding Remarks -- 34 Class Invariants and Singular Moduli -- 1 Introduction -- 2 Table of Class Invariants -- 3 Computation of Gnand gnwhen 9/n -- 4 Kronecker’s Limit Formula and General Formulas for Class Invariants -- 5 Class Invariants Via Kronecker’s Limit Formula -- 6 Class Invariants Via Modular Equations -- 7 Class Invariants Via Class Field Theory -- 8 Miscellaneous Results -- 9 Singular Moduli -- 10 A Certain Rational Function of Singular Moduli -- 11 The Modular j-invariant -- 35 Values of Theta-Functions -- 0 Introduction -- 1 Elementary Values -- 2 Nonelementary Values of -- 3 A Remarkable Product of Theta-Functions -- 36 Modular Equations and Theta-Function Identities in Notebook 1 -- 1 Modular Equations of Degree 3 and Related Theta-Function Identities -- 2 Modular Equations of Degree 5 and Related Theta-Function Identities -- 3 Other Modular Equations and Related Theta-Function Identities -- 4 Identities Involving Lambert Series -- 5 Identities Involving Eisenstein Series -- 6 Modular Equations in the Form of Schläfli -- 7 Modular Equations in the Form of Russell -- 8 Modular Equations in the Form of Weber -- 9 Series Transformations Associated with Theta-Functions -- 10 Miscellaneous Results -- 37 Infinite Series -- 38 Approximations and Asymptotic Expansions -- 39 Miscellaneous Results in the First Notebook -- Location of Entries in the Unorganized Portions of Ramanujan’s First Notebook -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1624-7
Links to Related Works
Subject References:
Mathematics
.
Mathematics, general
.
Authors:
Berndt, Bruce C.
.
Corporate Authors:
SpringerLink (Online service)
.
Classification:
510
.
.
ISBD Display
Catalogue Record 44777
.
Tag Display
Catalogue Record 44777
.
Related Works
Catalogue Record 44777
.
Marc XML
Catalogue Record 44777
.
Add Title to Basket
Catalogue Record 44777
.
Catalogue Information 44777
Beginning of record
.
Catalogue Information 44777
Top of page
.
Download Title
Catalogue Record 44777
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44777
1
44777
-
2
44777
-
3
44777
-
4
44777
-
5
44777
-
Quick Search
Search for