Collected papers of Srinivasa Ramanujan (Record no. 3190)

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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821820766
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Edited by Hardy, G. H.
245 ## - TITLE STATEMENT
Title Collected papers of Srinivasa Ramanujan
250 ## - EDITION STATEMENT
Edition statement 1st ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Rhode Island:
Name of publisher, distributor, etc. AMS Chelsea publishing,
Date of publication, distribution, etc. [c2013]
300 ## - Physical Description
Pages: 426 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note PAPERS: <br/>1.Some properties of Bernoulli's numbers<br/>2.On Question 330 of Prof. Sanjana;<br/>3.Note on a set of simultaneous equations;<br/>4.Irregular numbers;<br/>5.Squaring the circle;<br/>6.Modular equations and approximations to π;<br/>7.On the integral;<br/>8.On the number of divisors of a number;<br/>9.On the sum of the square roots of the first n natural numbers;<br/>10.On the product;<br/>11.Some definite integrals;<br/>12.Some definite integrals connected with Gauss's sums;<br/>13.Summation of a certain series;<br/>14.New expressions for Riemann's functions ξ(s) and (t);<br/>15.Highly composite numbers;<br/>16.On certain infinite series;<br/>17.Some formulæ in the analytic theory of numbers;<br/>18.On certain arithmetical functions;<br/>19.A series for Euler's constant γ;<br/>20.On the expression of a number in the form ax2+by2+cz2+du2;<br/>21.On certain trigonometrical sums and their applications in the theory of numbers;<br/>22.Some definite integrals;<br/>23.Some definite integrals;<br/>24.A proof of Bertrand's postulate;<br/>25.Some properties of p (n), the number of partitions of n;<br/>26.Proof of certain identities in combinatory analysis;<br/>27.A class of definite integrals;<br/>28.Congruence properties of partitions;<br/>29.Algebraic relations between certain infinite products;<br/>30.Congruence properties of partitions;<br/>31.Une formule asymptotique pour le nombre des partitions de n;<br/>32.Proof that almost all numbers n are composed of about log log n prime factors;<br/>33.Asymptotic formulæ in combinatory analysis;<br/>34.Asymptotic formulæ for the distribution of integers of various types;<br/>35.The normal number of prime factors of a number n;<br/>36.Asymptotic formulæ in combinatory analysis;<br/>37.On the coefficients in the expansions of certain modular functions;<br/>Questions and Solutions;<br/>Appendix I: Notes on the Papers;<br/>Appendix II: Further Extracts from Ramanujan's Letters TO G. H. Hardy;<br/>Commentary on Ramanujan's Collected Papers by Bruce C. Berndt
520 ## - SUMMARY, ETC.
Summary, etc. "The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems, and letters have spawned a remarkable number of later results by many different mathematicians. Here, his 37 published papers, most of his first two and last letters to Hardy, the famous 58 problems submitted to the Journal of the Indian Mathematical Society, and the commentary of the original editors (Hardy, Seshu Aiyar and Wilson) are reprinted again, after having been unavailable for some time. In this printing of Ramanujan's collected papers, Bruce Berndt provides an annotated guide to Ramanujan's work and to the mathematics it inspired over the last three-quarters of a century. The historical development of ideas is traced in the commentary and by citations to the copious references. The editor has done the mathematical world a tremendous service that few others would be qualified to do" --Provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Edited by Seshu Aiyar, P. V.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Wilson, B. M.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
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