Problems in the Theory of Modular Forms / HBA Lecture Notes in Mathematics (PDF)
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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 t-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.
Michael Dewar is a post-doctorate fellow at the Queen's University, Canada. He did his PhD on "Ramanujan congruences in modular forms" from the University of Illinois at Urbana-Champaign, United States. His research interest lies in modular forms, Jacobi forms, and harmonic weak Maass forms.
Hester Graves is professor at the Department of Mathematics, University of Michigan in Ann Arbor, United States.
- Autoren: M. Ram Murty , Michael Dewar , Hester Graves
- 2016, 1st ed. 2016, 291 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9811026513
- ISBN-13: 9789811026515
- Erscheinungsdatum: 25.11.2016
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Grösse: 2.32 MB
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