Elementary theory of L-functions and modular forms
Summary
This course is intended to serve as an introduction to L-functions and modular forms, motivated by results from number theory.Main topics
- The Riemann zeta function: Here we shall discuss Ayoub's Euler and the Zeta Function
- Dirichlet L-series: Dirichlet's theorem on arithmetic progressions
- Further L-functions and reciprocity: Here we shall discuss reciprocity laws analytically.
- Modular forms: Here we shall follow Serre's book.
Page one of Artin's 1923 paper with a photo of Artin (taken by his wife) as background.