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Problems in the theory of modular forms [electronic resource]

Problems in the theory of modular forms [electronic resource]

자료유형
E-Book(소장)
개인저자
Murty, M. Ram. Dewar, Michael. Graves, Hester.
서명 / 저자사항
Problems in the theory of modular forms [electronic resource] / M. Ram Murty, Michael Dewar, Hester Graves.
발행사항
Singapore :   Springer Singapore :   Imprint: Springer,   2016.  
형태사항
1 online resource (xvii, 291 p.) : ill.
총서사항
HBA lecture notes in mathematics,2509-8063
ISBN
9789811026515
요약
This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field.
일반주기
Title from e-Book title page.  
내용주기
Part I Problems -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics -- Part II Solutions -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics.
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Mathematics. Operator theory. Sequences (Mathematics). Special functions. Number theory.
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006 m d
007 cr
008 200611s2016 si a ob 000 0 eng d
020 ▼a 9789811026515
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA241-247.5
082 0 4 ▼a 512.73 ▼2 23
084 ▼a 512.73 ▼2 DDCK
090 ▼a 512.73
100 1 ▼a Murty, M. Ram.
245 1 0 ▼a Problems in the theory of modular forms ▼h [electronic resource] / ▼c M. Ram Murty, Michael Dewar, Hester Graves.
260 ▼a Singapore : ▼b Springer Singapore : ▼b Imprint: Springer, ▼c 2016.
300 ▼a 1 online resource (xvii, 291 p.) : ▼b ill.
490 1 ▼a HBA lecture notes in mathematics, ▼x 2509-8063
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a Part I Problems -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics -- Part II Solutions -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics.
520 ▼a This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Mathematics.
650 0 ▼a Operator theory.
650 0 ▼a Sequences (Mathematics).
650 0 ▼a Special functions.
650 0 ▼a Number theory.
700 1 ▼a Dewar, Michael.
700 1 ▼a Graves, Hester.
830 0 ▼a HBA lecture notes in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-981-10-2651-5
945 ▼a KLPA
991 ▼a E-Book(소장)

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