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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Ch 11 Two Partial Unpublished Manuscripts on Sums Involving Primes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Ch 12 An Unpublished Manuscript of Ramanujan on Infinite Series Identities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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