Automorphic Forms and the Picard Number of an Elliptic Surface by Peter F. Stiller
Contents of Automorphic Forms and Picard Number Elliptic Surface
- PART 1. DIFFERENTIAL EQUATIONS
- Generalities
- Inhomogeneous equations
- Automorphic forms
- Periods
- PART 2. K-EQUATIONS
- Definitions
- Local properties
- Automorphic forms associated to K-equations and parabolic cohomology
- PART 3. ELLIPTIC SURFACES
- Automorphic forms and a result of Hoyt’s
- Periods and the rank of Egen
- A generalization
- PART 4. HODGE THEORY
- The filtrations
- Differentials of the second kind
- PART 5. THE PICARD NUMBER
- Periods and period integrals
- Periods and differential equations satisfied by normal functions
- A formula, a method, and a remark on special values of Dirichlet series
