Ramanujan's Lost Notebook: Part IV

Author:   George E. Andrews ,  Bruce C. Berndt
Publisher:   Springer-Verlag New York Inc.
Edition:   2013 ed.
ISBN:  

9781489991751


Pages:   439
Publication Date:   07 July 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Ramanujan's Lost Notebook: Part IV


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Author:   George E. Andrews ,  Bruce C. Berndt
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   6.905kg
ISBN:  

9781489991751


ISBN 10:   1489991751
Pages:   439
Publication Date:   07 July 2015
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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9 Divisor Sums.- 10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions.- 11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series.- 13 A Partial Manuscript on Fourier and Laplace Transforms.- 14 Integral Analogues of Theta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.

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George E. Andrews is currently a professor of mathematics at Pennsylvania State University. Bruce C. Berndt is currently a professor of mathematics at the University of Illinois.

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