The mathematical legacy of Srinivasa Ramanujan:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Delhi [u.a.]
Springer
2013
|
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XI, 184 S.) |
| ISBN: | 9788132207696 9788132207702 |
| DOI: | 10.1007/978-81-322-0770-2 |
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Record in the Search Index
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| adam_text | THE MATHEMATICAL LEGACY OF SRINIVASA RAMANUJAN
/ MURTY, M. RAM
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MATHEMATICAL LEGACY OF SRINIVASA RAMANUJAN
/ MURTY, M. RAM
: 2013
ABSTRACT / INHALTSTEXT
SRINIVASA RAMANUJAN WAS A MATHEMATICIAN BRILLIANT BEYOND COMPARE. THERE
IS EXTENSIVE LITERATURE AVAILABLE ON THE WORK OF RAMANUJAN, BUT WHAT IS
MORE DIFFICULT TO FIND IN THE LITERATURE IS AN ANALYSIS THAT WOULD PLACE
HIS MATHEMATICS IN CONTEXT AND INTERPRET IT IN TERMS OF MODERN
DEVELOPMENTS. THE 12 LECTURES BY G. H. HARDY, DELIVERED IN 1936, SERVED
THIS PURPOSE AT THE TIME THEY WERE GIVEN. THIS BOOK PRESENTS
RAMANUJAN’S ESSENTIAL MATHEMATICAL CONTRIBUTIONS AND GIVES AN INFORMAL
ACCOUNT OF SOME OF THE MAJOR DEVELOPMENTS THAT EMANATED FROM HIS WORK IN
THE 20TH AND 21ST CENTURIES. IT CONTENDS THAT HIS WORK IS STILL HAVING
AN IMPACT ON MANY DIFFERENT FIELDS OF MATHEMATICAL RESEARCH. THE BOOK
EXAMINES SOME OF THESE THEMES IN THE LANDSCAPE OF 21ST-CENTURY
MATHEMATICS. THESE ESSAYS, BASED ON THE LECTURES GIVEN BY THE AUTHORS,
FOCUS ON A SUBSET OF RAMANUJAN’S SIGNIFICANT PAPERS AND SHOW HOW THESE
PAPERS SHAPED THE COURSE OF MODERN MATHEMATICS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Murty, Maruti Ram 1953- Murty, Vijaya Kumar 1956- |
| author_GND | (DE-588)120837307 (DE-588)104255765 |
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| author_role | aut aut |
| author_sort | Murty, Maruti Ram 1953- |
| author_variant | m r m mr mrm v k m vk vkm |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512.7 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-81-322-0770-2 |
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| spelling | Murty, Maruti Ram 1953- Verfasser (DE-588)120837307 aut The mathematical legacy of Srinivasa Ramanujan M. Ram Murty ; V. Kumar Murty New Delhi [u.a.] Springer 2013 1 Online-Ressource (XI, 184 S.) txt rdacontent c rdamedia cr rdacarrier Ramanujan Aiyangar, Srinivasa 1887-1920 (DE-588)118748955 gnd rswk-swf Mathematik Mathematics Algebra Fourier analysis Functions, special Combinatorics Number theory Ramanujan Aiyangar, Srinivasa 1887-1920 (DE-588)118748955 p DE-604 Murty, Vijaya Kumar 1956- Verfasser (DE-588)104255765 aut https://doi.org/10.1007/978-81-322-0770-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025673930&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025673930&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Murty, Maruti Ram 1953- Murty, Vijaya Kumar 1956- The mathematical legacy of Srinivasa Ramanujan Ramanujan Aiyangar, Srinivasa 1887-1920 (DE-588)118748955 gnd Mathematik Mathematics Algebra Fourier analysis Functions, special Combinatorics Number theory |
| subject_GND | (DE-588)118748955 |
| title | The mathematical legacy of Srinivasa Ramanujan |
| title_auth | The mathematical legacy of Srinivasa Ramanujan |
| title_exact_search | The mathematical legacy of Srinivasa Ramanujan |
| title_full | The mathematical legacy of Srinivasa Ramanujan M. Ram Murty ; V. Kumar Murty |
| title_fullStr | The mathematical legacy of Srinivasa Ramanujan M. Ram Murty ; V. Kumar Murty |
| title_full_unstemmed | The mathematical legacy of Srinivasa Ramanujan M. Ram Murty ; V. Kumar Murty |
| title_short | The mathematical legacy of Srinivasa Ramanujan |
| title_sort | the mathematical legacy of srinivasa ramanujan |
| topic | Ramanujan Aiyangar, Srinivasa 1887-1920 (DE-588)118748955 gnd Mathematik Mathematics Algebra Fourier analysis Functions, special Combinatorics Number theory |
| topic_facet | Ramanujan Aiyangar, Srinivasa 1887-1920 Mathematik Mathematics Algebra Fourier analysis Functions, special Combinatorics Number theory |
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