Ramanujan's lost notebook. Part IV
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon des...
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| Главный автор: | |
|---|---|
| Другие авторы: | , |
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Cham :
Springer International Publishing
2013.
Cham : Springer Nature |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Type of computer file: Fichier EPUB |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ramanujan's lost notebook, Part IV, [edited by] George E. Andrews, Bruce C. Berndt., 2013, New York, Springer, 1 vol. (XVII-439 p.), 978-1-4614-4080-2 |
Оглавление:
- 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- 11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series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 S_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