Automorphic Forms and the Picard Number of an Elliptic Surface

I. Differential Equations.-
1. Generalities.-
2. Inhomogeneous equations.-
3. Automorphic forms.-
4. Periods.- II. K-Equations.-
1. Definitions.-
2. Local properties.-
3. Automorphic forms associated to K-equations and parabolic cohomology.- III. Elliptic Surfaces.-
1. Introduction.-
2. A bound on the rank r of Egen (K(X)).-
3. Automorphic forms and a result of Hoyt's.-
4. Periods and the rank of Egen (K(X)).-
5. A generalization.- IV. Hodge Theory.-
1. The filtrations.-
2. Differentials of the second kind.- V. The Picard Number.-
1. Periods and period integrals.-
2. Periods and differential equations satisfied by normal functions.-
3. A formula, a method, and a remark on special values of Dirichlet series.-
4. Examples.- Appendix I. Third Order Differential Equations.