Modular Functions and Modular Forms
β Milne J.S.
π Library
π
2017
π English
β¦ LIBER β¦
π
Modular Forms and L-functions
β Scribed by A. J. Scholl, ed. Dexter Chua
- Publisher
- University of Cambridge
- Year
- 2017
- Tongue
- English
- Leaves
- 97
- Series
- Cambridge Mathematical Tripos Part III Lecture Notes
- Category
- Library
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β¦ Table of Contents
Introduction
Some preliminary analysis
Characters of abelian groups
Fourier transforms
Mellin transform and Gamma-function
Riemann zeta-function
Dirichlet L-functions
The modular group
Modular forms of level 1
Basic definitions
The space of modular forms
Arithmetic of Delta
Hecke operators
Hecke operators and algebras
Hecke operators on modular forms
L-functions of eigenforms
Modular forms for subgroups of SL2(Z)
Definitions
The Petersson inner product
Examples of modular forms
Hecke theory for Gamma0(N)
Modular forms and rep theory
Index
β¦ Subjects
maths; mathematics; math; advanced; college; university; higher; further; pure; applied
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