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Lost notebook. 4

Author: Srinivasa Ramanujan Aiyangar; George E Andrews; Bruce C Berndt
Publisher: New York, NY : Springer, (2013)
Edition/Format:   Book : English
Database:WorldCat
Summary:

Fourth of five volumes that the authors plan to write on Ramanujan's lost notebook, this title, in contrast to the first three books, does not focus on q-series. It includes entries that fall under  Read more...

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Document Type: Book
All Authors / Contributors: Srinivasa Ramanujan Aiyangar; George E Andrews; Bruce C Berndt
ISBN: 9781461440802 1461440807 9781461440819 1461440815
OCLC Number: 856809877
Description: XVII, 439 S. : Ill.
Contents: Preface.- 1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums.- 10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions.- 11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series.- 13 A Partial Manuscript on Fourier and Laplace Transforms.- 14 Integral Analogues of Theta Functions adn Gauss Sums.- 15 Functional Equations for Products of Mellin Transforms.- 16 Infinite Products.- 17 A Preliminary Version of Ramanujan's Paper, On the Integral _0^x tan^(-1)t)/t dt.- 18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis.- 20 Elementary Results.- 21 A Strange, Enigmatic Partial Manuscript.- Location Guide.- Provenance.- References.- Index.
Responsibility: George E. Andrews ; Bruce C. Berndt.
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