Ramanujan's Lost Notebook

Chapter 1 Introduction

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

Chapter 3 Koshliakov’s Formula and Guinand’s Formula

Chapter 4 Theorems Featuring the Gamma Function

Chapter 5 Hypergeometric Series

Chapter 6 Two Partial Manuscripts on Euler’s Constant γ

Chapter 7 Problems in Diophantine Approximation

Chapter 8 Number Theory

Chapter 9 Divisor Sums

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

Chapter 11 Two Partial Unpublished Manuscripts on Sums Involving Primes

Chapter 12 An Unpublished Manuscript of Ramanujan on Infinite Series Identities

Chapter 13 A Partial Manuscript on Fourier and Laplace Transforms

Chapter 14 Integral Analogues of Theta Functions and Gauss Sums

Chapter 15 Functional Equations for Products of Mellin Transforms

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

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

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

Chapter 20 Elementary Results

Chapter 21 A Strange, Enigmatic Partial Manuscript