N ov 2 00 1 Spacing of Zeros of Hecke L - Functions and the Class Number Problem


Contents: 1. A bit of history and results 2. Basic automorphic forms 3. Summation formulas 4. Convolution sums 5. Point to integral mean-values of Dirichlet's series 6. Evaluation of A(T) 7. Approximate functional equation 8. Evaluation of ℓ(s) on average 9. Estimation of x(s) on average 10. Applications The group of ideal classes Cℓ(K) of an imaginary… (More)