Format:
Online-Ressource (XVII, 291 p. 8 illus, online resource)
ISBN:
9789811026515
,
9789380250724
Series Statement:
HBA Lecture Notes in Mathematics
Content:
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.
Content:
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. .
Additional Edition:
ISBN 9789811026508
Additional Edition:
ISBN 9789811026522
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9789811026508
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9789811026522
Language:
English
DOI:
10.1007/978-981-10-2651-5
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
