Problems in the theory of modular forms /

Problems in the theory of modular forms /

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Bibliographic Details
Author / Creator:Murty, Maruti Ram, author.
Imprint:Singapore : Springer, 2016.
Description:1 online resource
Language:English
Series:HBA lecture notes in mathematics
IMSc lecture notes in mathematics
HBA lecture notes in mathematics.
IMSc lecture notes in mathematics.
Subject:
Forms, Modular.
Forms, Modular.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11269596
Related Items:Print version: Problems in the theory of modular forms.
Hidden Bibliographic Details
Other authors / contributors:Dewar, Michael, author.
Graves, Hester, author.
ISBN:9789811026515
9811026513
9789811026508
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed December 12, 2016).
Summary: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?-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.
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.--
Other form:Print version: Murty, M. Ram. Problems in the theory of modular forms. Singapore : Springer, c2016 291 pages HBA Lecture Notes in Mathematics 2509-8071 9789811026508
Standard no.:10.1007/978-981-10-2651-5
Table of Contents:
  • 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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