Ramanujan's Lost Notebook

George E. Andrews () and Bruce C. Berndt ()
Additional contact information
George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois, Department of Mathematics

in Springer Books from Springer

Date: 2013
Edition: 2013
ISBN: 978-1-4614-4081-9
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Chapters in this book:

Ch 1 Introduction

George E. Andrews and Bruce C. Berndt

Ch 2 Double Series of Bessel Functions and the Circle and Divisor Problems

George E. Andrews and Bruce C. Berndt

Ch 3 Koshliakov’s Formula and Guinand’s Formula

George E. Andrews and Bruce C. Berndt

Ch 4 Theorems Featuring the Gamma Function

George E. Andrews and Bruce C. Berndt

Ch 5 Hypergeometric Series

George E. Andrews and Bruce C. Berndt

Ch 6 Two Partial Manuscripts on Euler’s Constant γ

George E. Andrews and Bruce C. Berndt

Ch 7 Problems in Diophantine Approximation

George E. Andrews and Bruce C. Berndt

Ch 8 Number Theory

George E. Andrews and Bruce C. Berndt

Ch 9 Divisor Sums

George E. Andrews and Bruce C. Berndt

Ch 10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions

George E. Andrews and Bruce C. Berndt

Ch 11 Two Partial Unpublished Manuscripts on Sums Involving Primes

George E. Andrews and Bruce C. Berndt

Ch 12 An Unpublished Manuscript of Ramanujan on Infinite Series Identities

George E. Andrews and Bruce C. Berndt

Ch 13 A Partial Manuscript on Fourier and Laplace Transforms

George E. Andrews and Bruce C. Berndt

Ch 14 Integral Analogues of Theta Functions and Gauss Sums

George E. Andrews and Bruce C. Berndt

Ch 15 Functional Equations for Products of Mellin Transforms

George E. Andrews and Bruce C. Berndt

Ch 16 A Preliminary Version of Ramanujan’s Paper “On the Product $$\prod\limits _{n=0}^{\infty }\left [1 +{ \left ( \tfrac{x} {a+nd}\right )}^{3}\right ]$$ ”

George E. Andrews and Bruce C. Berndt

Ch 17 A Preliminary Version of Ramanujan’s Paper “On the Integral $$\int _{0}^{x}\frac{{\tan }^{-1}t} {t} dt$$ ”

George E. Andrews and Bruce C. Berndt

Ch 18 A Partial Manuscript Connected with Ramanujan’s Paper “Some Definite Integrals”

George E. Andrews and Bruce C. Berndt

Ch 19 Miscellaneous Results in Analysis

George E. Andrews and Bruce C. Berndt

Ch 20 Elementary Results

George E. Andrews and Bruce C. Berndt

Ch 21 A Strange, Enigmatic Partial Manuscript

George E. Andrews and Bruce C. Berndt

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DOI: 10.1007/978-1-4614-4081-9

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