## Reciprocity Laws II. From Kummer to Hilbert

Quadratic reciprocity laws in quadratic number fields
#### 13. Eisenstein's Conjecture

Eisenstein's 'derivation' of the l-th power reciprocity law
in cyclotomic fields
#### 14. Analytic Techniques

#### 15. Genus Theory

#### 16. Kummer's Reciprocity Law

#### 17. Hilbert's Reciprocity Law

#### 18. Hecke's Gauss Sums and Quadratic Reciprocity

#### 19. Theta Functions

#### 20. Norm Residues

#### 21. Hilbert Class Field Theory

#### 22. Quaternion Algebras

#### 23. Quadratic Function Fields

I hope to have preliminary versions of these chapters up here
until the end of 2005. Comments are more than welcome. Please
let me know about mistakes, typos, omissions, ...