Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Index of ramification, residual degree, norm of ideals for relative extensions of
algebraic number fields and their properties. Fundamental equality.
- Different, Discriminant and Dedekind's theorem on ramified prime ideals in
extensions of algebraic number fields.
- Finiteness of class number and determination of class numbers in special cases.
- Dirichlet's Density theorem and simple applications.
- Dirichlet's class number formula and its explicit determination for cyclotomic
and quadratic fields in terms of L-series.
- M. Ram Murty and J. Esmonde, Problems in Algebraic Number Theory
Springer-Verlag (2004).
- Saban Alaca and Kenneth Williams, Introductory Algebraic
Number Theory Cambridge University Press (2003).
- Wladyslaw Narkiewikz, Elementary and Analytic Theory of
Algebraic Numbers Springer-Verlag (2004).
- Erich Hecke, Lectures on the Theory of Algebraic Numbers Springer-Verlag,
(1981).
- Paulo Ribenboim, Algebraic Numbers John Wiley and Sons (1972).
