modular forms
MATH 6393
Announcements:
Instructor MWF 2:30pm-3:20pm, 359 PHSC
Office Hours
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| Course Notes |
| These notes still need some revision and likely have many mistakes. I am periodically revising them and adding material. Please notify me of any errors you find or suggestions you may have. | Note: The individual chapters are no longer available for download so that I only need to update the master file upon revision. |
| Chapter 1 | Introduction | Edited: 5/12/2011 |
| Chapter 2 | Elliptic Functions | Edited: 5/12/2011 |
| Chapter 3 | The Poincare upper half-plane | Edited: 5/12/2011 |
| Chapter 4 | Modular forms | Edited: 5/12/2011 |
| Chapter 5 | Dimensions of spaces of forms | Edited: 5/12/2011 |
| Chapter 6 | Hecke operators | Edited: 5/12/2011 |
| Chapter 7 | L-functions | Edited: 5/12/2011 |
| Chapter 8 | New and old forms | Revised: Jan 2018 |
| Chapter 9 | Hilbert modular forms | (incomplete) |
| References | Edited: 5/12/2011 | |
| Index | Added: July 2016 | |
| Download all notes | Revised: May 2022 |
| Starred Exercises |
| Chapter 3: 3.3.6, 3.4.12, 3.5.3, 3.5.15 |
| Chapter 4: 4.2.13, 4.2.16, 4.4.9, 4.5.6 |
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