Ramanujan's lost notebook (Record no. 2144)

000 -LEADER
fixed length control field 02361nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240910154252.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190117b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781493976270
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA29.R3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Andrews, George E.
245 ## - TITLE STATEMENT
Title Ramanujan's lost notebook
Remainder of title : Part IV
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. USA:
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c2005]
300 ## - Physical Description
Pages: 439 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Introduction<br/>1. Double Series of Bessel Functions and the Circle and Divisor Problems<br/>2. Koshliakov’s Formula and Guinand’s Formula<br/>3. Theorems Featuring the Gamma Function<br/>4. Hypergeometric Series<br/>5. Two Partial Manuscripts on Euler’s Constant γ<br/>6. Problems in Diophantine Approximation<br/>7. Number Theory<br/>8. Divisor Sums<br/>9. Identities Related to the Riemann Zeta Function and Periodic Zeta Functions<br/>10. Two Partial Unpublished Manuscripts on Sums Involving Primes<br/>11. An Unpublished Manuscript of Ramanujan on Infinite Series Identities<br/>12. A Partial Manuscript on Fourier and Laplace Transforms<br/>13. Integral Analogues of Theta Functions and Gauss Sums<br/>14. Integral Analogues of Theta Functions and Gauss Sums<br/>15. Functional Equations for Products of Mellin Transforms<br/>16. A Preliminary Version of Ramanujan’s Paper<br/>17. A Preliminary Version of Ramanujan’s Paper <br/>18. A Partial Manuscript Connected with Ramanujan’s Paper “Some Definite Integrals”<br/>19. Miscellaneous Results in Analysis3<br/>20. Elementary Results<br/>21. A Strange, Enigmatic Partial Manuscript
520 ## - SUMMARY, ETC.
Summary, etc. This volume is the fourth of five volumes that the authors plan to write on Ramanujan’s lost notebook.​ In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysisand prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Berndt, Bruce C.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 01/17/2019 QA29.R3 01490 Book