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Problems in the Theory of Modular Forms
~
Murty, M. Ram.
Problems in the Theory of Modular Forms
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Problems in the Theory of Modular Forms/ by M. Ram Murty, Michael Dewar, Hester Graves.
作者:
Murty, M. Ram.
其他作者:
Dewar, Michael.
面頁冊數:
XVII, 291 p. 8 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Number theory. -
電子資源:
https://doi.org/10.1007/978-981-10-2651-5
ISBN:
9789811026515
Problems in the Theory of Modular Forms
Murty, M. Ram.
Problems in the Theory of Modular Forms
[electronic resource] /by M. Ram Murty, Michael Dewar, Hester Graves. - 1st ed. 2016. - XVII, 291 p. 8 illus.online resource. - IMSc Lecture Notes in Mathematics,2509-808X. - IMSc Lecture Notes in Mathematics,.
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.
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. .
ISBN: 9789811026515
Standard No.: 10.1007/978-981-10-2651-5doiSubjects--Topical Terms:
527883
Number theory.
LC Class. No.: QA241-247.5
Dewey Class. No.: 512.7
Problems in the Theory of Modular Forms
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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.
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