|
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11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series |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 |
|
|
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 |
|
ＥＢ
