Preface |
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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 |
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10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions |
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11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series |
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13 A Partial Manuscript on Fourier and Laplace Transforms |
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14 Integral Analogues of Theta Functions adn Gauss Sums |
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15 Functional Equations for Products of Mellin Transforms |
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16 Infinite Products |
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17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt |
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18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis |
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20 Elementary Results |
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21 A Strange, Enigmatic Partial Manuscript.- Location Guide |
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Provenance |
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References |
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Index |
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Preface |
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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 |
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10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions |
|
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series |
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13 A Partial Manuscript on Fourier and Laplace Transforms |
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14 Integral Analogues of Theta Functions adn Gauss Sums |
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