modular forms

MATH 6393


Kimball Martin
924 Physical Sciences Center
(405) 325-3537

MWF 2:30pm-3:20pm, 359 PHSC

Office Hours
Wed 11:30-12:30, 1:30-2:30
or by appointment

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 IntroductionEdited: 5/12/2011
Chapter 2 Elliptic FunctionsEdited: 5/12/2011
Chapter 3 The Poincare upper half-planeEdited: 5/12/2011
Chapter 4 Modular formsEdited: 5/12/2011
Chapter 5 Dimensions of spaces of formsEdited: 5/12/2011
Chapter 6 Hecke operatorsEdited: 5/12/2011
Chapter 7 L-functions Edited: 5/12/2011
Chapter 8 New and old formsRevised: 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

Other Links

Academic Calendar
Number Theory I course page
Number Theory II course page
Automorphic Representations course page
(Quaternion) Algebras in Number Theory course page