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The mathematical legacy of Srinivasa Ramanujan / / M. Ram Murty, V. Kumar Murty
| The mathematical legacy of Srinivasa Ramanujan / / M. Ram Murty, V. Kumar Murty |
| Autore | Murty M. Ram |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2012 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 510.92 |
| Soggetto topico | Mathematicians - India |
| ISBN |
1-283-69784-X
81-322-0770-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Chapter 1. The Legacy of Srinivasa Ramanujan -- Chapter 2. The Ramanujan tau function -- Chapter 3. Ramanujan’s conjecture and l-adic representations -- Chapter 4. The Ramanujan conjecture from GL(2) to GL(n) -- Chapter 5. The circle method -- Chapter 6. Ramanujan and transcendence -- Chapter 7. Arithmetic of the partition function -- Chapter 8. Some nonlinear identities for divisor functions -- Chapter 9. Mock theta functions and mock modular forms -- Chapter 10. Prime numbers and highly composite numbers -- Chapter 11. Probabilistic number theory -- Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function -- Bibliography -- Index. |
| Record Nr. | UNINA-9910438158403321 |
Murty M. Ram
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| New York, : Springer, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin
| Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin |
| Autore | Berndt Bruce C. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (347 pages) : illustrations |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3877-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480523703321 |
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Berndt Bruce C.
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| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin
| Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin |
| Autore | Berndt Bruce C. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (347 pages) : illustrations |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| ISBN | 1-4704-3877-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794726103321 |
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Berndt Bruce C.
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| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin
| Ramanujan : letters and commentary / / Bruce C. Berndt and Robert A. Rankin |
| Autore | Berndt Bruce C. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (347 pages) : illustrations |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| ISBN | 1-4704-3877-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910820018303321 |
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Berndt Bruce C.
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| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors
| Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations, photographs |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3890-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480531803321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors
| Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations, photographs |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| ISBN | 1-4704-3890-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794725303321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors
| Ramanujan : essays and surveys / / Bruce C. Berndt, Robert A. Rankin, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (348 pages) : illustrations, photographs |
| Disciplina | 510/.92 |
| Collana | History of Mathematics |
| Soggetto topico |
Mathematicians - India
Number theory |
| ISBN | 1-4704-3890-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910807774503321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ramanujan's lost notebook . Part IV / / George E. Andrews, Bruce C. Berndt
| Ramanujan's lost notebook . Part IV / / George E. Andrews, Bruce C. Berndt |
| Autore | Andrews George E |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xvii, 439 pages) |
| Disciplina |
510.92
515 |
| Collana | Gale eBooks |
| Soggetto topico |
Mathematical analysis
Number theory Mathematicians - India |
| ISBN |
1-322-33271-1
1-4614-4081-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910438152703321 |
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Andrews George E
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| New York : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Srinivasa Ramanujan : life and works of a natural mathematical genius, Swayambhu / / K. Srinivasa Rao
| Srinivasa Ramanujan : life and works of a natural mathematical genius, Swayambhu / / K. Srinivasa Rao |
| Autore | Srinivasa Rao K. <1942-> |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (299 pages) |
| Disciplina | 510.92 |
| Soggetto topico |
Mathematicians - India
Mathematics - History Matemàtics Història de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0447-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- About the Author -- 1 Life of Srinivasa Ramanujan -- 1.1 Early Years -- 1.2 Years of Adversity -- 1.3 A Turning Point -- 1.4 Ramanujan's First Letter to Hardy -- 1.5 The Years of Fruition -- 1.6 Ramanujan's Medicography -- 1.7 Excerpt from Records of the Royal Society and F.R.S. -- 1.8 The Beginning of the End -- 1.9 Janaki Ramanujan (Janakiammal) -- 1.10 Human Qualities -- 2 Ramanujan at Cambridge -- 2.1 Research Publications -- 2.2 On Selected Formulae of Ramanujan -- 2.3 Elementary Mathematics -- 2.4 Highly Composite Numbers -- 2.5 Partitions -- 2.6 Ramanujan's Congruences -- 2.7 Rogers-Ramanujan Identities -- 2.8 An `Astonishing' Theorem -- 2.9 Ramanujan on Elliptic and Modular Functions -- 2.10 Mock Theta Functions -- 2.11 Continued Fractions -- 3 Ramanujan's Mathematics: Further Glimpses -- 3.1 Ramanujan Summation and Ramanujan Sum -- 3.2 Arithmetic Functions -- 3.3 Ramanujan's τ-Function -- 3.4 Ramanujan's Notebooks -- 3.5 Resurgence of Interest -- 3.6 A Page from the Second Notebook of Ramanujan -- 3.7 Bruce Berndt's Work on the Notebooks -- 3.8 Ratan P. Agarwal's Work on the Notebooks -- 3.9 Dyson on Ramanujan's Notebooks -- 3.10 CD ROMs on the Life and Work of Ramanujan -- 4 Hardy on Ramanujan -- 4.1 Ramanujan Discovers Hardy -- 4.2 Hardy: A Brief Biography -- 4.3 Hardy's Collaborations -- 4.4 The Hardy-Ramanujan Collaboration: Pros and Cons -- 4.5 Hardy's Lectures on Ramanujan's Work -- 4.6 Ramanujan's Work on Hypergeometric Series -- 5 Ramanujan and Hypergeometric Series -- 5.1 A Few Illustrative Examples -- 5.2 In the Notebooks of Ramanujan -- 5.3 An Entry in Ramanujan's Notebook -- 5.4 A New Summation Theorem and its Proof -- 6 Chandrasekhar (Chandra) and Ramanujan -- 6.1 S. Chandrasekhar: Nobel Laureate -- 6.2 Chandrasekhar on Ramanujan.
6.3 The Passport Photograph of Ramanujan -- 6.4 A Remarkable Story -- 6.5 Sources for the Books on Ramanujan -- 6.6 The Centenary Year, 1987: Ramanujan Revisited -- 7 Books on Ramanujan and Busts of Ramanujan -- 7.1 S.R. Ranganathan's Biography (1967) -- 7.2 Robert Kanigel's The Man Who Knew Infinity -- 7.3 Review of Ramanujan: Letters and Commentary by Berndt and Rankin -- 7.4 Busts of Ramanujan -- 7.4.1 On the Temple Tower of BITS, Pilani -- 7.4.2 Bust Made by Paul Granlund -- 7.4.3 Bust Made by N. Masilamani -- 7.4.4 Bronze Statue in Ramanujan IT City by K. G. Ravi -- 7.5 The Notebooks of Ramanujan -- 7.6 The Wren Library -- 8 Ramanujan Birth Anniversaries and Documentarieson Ramanujan -- 8.1 The 75th Birth Anniversary of Ramanujan -- 8.2 Notebooks of Ramanujan and Their Accessibility -- 8.3 Awareness Today -- 8.4 Promising Prospects -- 8.5 Video Programmes -- 8.6 Ira Hauptman's Partition -- 8.7 Web Sites -- 8.8 The ISC, πie Pavilion and Ramanujan Exhibitions -- 9 Relevance of Ramanujan Today -- 9.1 Contents of the CD ROMs -- 9.2 Birth Centenary of Ramanujan (1987) -- 9.3 ICM 2010 -- 9.4 The Author's Contributions -- 9.5 A Plea for a National Science Museum -- A Research Publications of Ramanujan -- Papers Written by S. Ramanujan -- Papers Written by S. Ramanujan with G.H. Hardy -- B Wren Library Card Catalogue and Papers of Ramanujan -- C Personal File of S. Ramanujan at the National Archives and Papers at the Tamilnadu Archives -- Files in the Tamilnadu Archives -- References -- Notes -- Index. |
| Record Nr. | UNINA-9910483060403321 |
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Srinivasa Rao K. <1942->
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| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Srinivasa Ramanujan : life and works of a natural mathematical genius, Swayambhu / / K. Srinivasa Rao
| Srinivasa Ramanujan : life and works of a natural mathematical genius, Swayambhu / / K. Srinivasa Rao |
| Autore | Srinivasa Rao K. <1942-> |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (299 pages) |
| Disciplina | 510.92 |
| Soggetto topico |
Mathematicians - India
Mathematics - History Matemàtics Història de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0447-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- About the Author -- 1 Life of Srinivasa Ramanujan -- 1.1 Early Years -- 1.2 Years of Adversity -- 1.3 A Turning Point -- 1.4 Ramanujan's First Letter to Hardy -- 1.5 The Years of Fruition -- 1.6 Ramanujan's Medicography -- 1.7 Excerpt from Records of the Royal Society and F.R.S. -- 1.8 The Beginning of the End -- 1.9 Janaki Ramanujan (Janakiammal) -- 1.10 Human Qualities -- 2 Ramanujan at Cambridge -- 2.1 Research Publications -- 2.2 On Selected Formulae of Ramanujan -- 2.3 Elementary Mathematics -- 2.4 Highly Composite Numbers -- 2.5 Partitions -- 2.6 Ramanujan's Congruences -- 2.7 Rogers-Ramanujan Identities -- 2.8 An `Astonishing' Theorem -- 2.9 Ramanujan on Elliptic and Modular Functions -- 2.10 Mock Theta Functions -- 2.11 Continued Fractions -- 3 Ramanujan's Mathematics: Further Glimpses -- 3.1 Ramanujan Summation and Ramanujan Sum -- 3.2 Arithmetic Functions -- 3.3 Ramanujan's τ-Function -- 3.4 Ramanujan's Notebooks -- 3.5 Resurgence of Interest -- 3.6 A Page from the Second Notebook of Ramanujan -- 3.7 Bruce Berndt's Work on the Notebooks -- 3.8 Ratan P. Agarwal's Work on the Notebooks -- 3.9 Dyson on Ramanujan's Notebooks -- 3.10 CD ROMs on the Life and Work of Ramanujan -- 4 Hardy on Ramanujan -- 4.1 Ramanujan Discovers Hardy -- 4.2 Hardy: A Brief Biography -- 4.3 Hardy's Collaborations -- 4.4 The Hardy-Ramanujan Collaboration: Pros and Cons -- 4.5 Hardy's Lectures on Ramanujan's Work -- 4.6 Ramanujan's Work on Hypergeometric Series -- 5 Ramanujan and Hypergeometric Series -- 5.1 A Few Illustrative Examples -- 5.2 In the Notebooks of Ramanujan -- 5.3 An Entry in Ramanujan's Notebook -- 5.4 A New Summation Theorem and its Proof -- 6 Chandrasekhar (Chandra) and Ramanujan -- 6.1 S. Chandrasekhar: Nobel Laureate -- 6.2 Chandrasekhar on Ramanujan.
6.3 The Passport Photograph of Ramanujan -- 6.4 A Remarkable Story -- 6.5 Sources for the Books on Ramanujan -- 6.6 The Centenary Year, 1987: Ramanujan Revisited -- 7 Books on Ramanujan and Busts of Ramanujan -- 7.1 S.R. Ranganathan's Biography (1967) -- 7.2 Robert Kanigel's The Man Who Knew Infinity -- 7.3 Review of Ramanujan: Letters and Commentary by Berndt and Rankin -- 7.4 Busts of Ramanujan -- 7.4.1 On the Temple Tower of BITS, Pilani -- 7.4.2 Bust Made by Paul Granlund -- 7.4.3 Bust Made by N. Masilamani -- 7.4.4 Bronze Statue in Ramanujan IT City by K. G. Ravi -- 7.5 The Notebooks of Ramanujan -- 7.6 The Wren Library -- 8 Ramanujan Birth Anniversaries and Documentarieson Ramanujan -- 8.1 The 75th Birth Anniversary of Ramanujan -- 8.2 Notebooks of Ramanujan and Their Accessibility -- 8.3 Awareness Today -- 8.4 Promising Prospects -- 8.5 Video Programmes -- 8.6 Ira Hauptman's Partition -- 8.7 Web Sites -- 8.8 The ISC, πie Pavilion and Ramanujan Exhibitions -- 9 Relevance of Ramanujan Today -- 9.1 Contents of the CD ROMs -- 9.2 Birth Centenary of Ramanujan (1987) -- 9.3 ICM 2010 -- 9.4 The Author's Contributions -- 9.5 A Plea for a National Science Museum -- A Research Publications of Ramanujan -- Papers Written by S. Ramanujan -- Papers Written by S. Ramanujan with G.H. Hardy -- B Wren Library Card Catalogue and Papers of Ramanujan -- C Personal File of S. Ramanujan at the National Archives and Papers at the Tamilnadu Archives -- Files in the Tamilnadu Archives -- References -- Notes -- Index. |
| Record Nr. | UNISA-996466403103316 |
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Srinivasa Rao K. <1942->
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| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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