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Number Theory: Algebraic Numbers and Functions
About this Title
Helmut Koch, Humboldt-University, Berlin, Germany. Translated by David Kramer
Publication: Graduate Studies in Mathematics
Publication Year:
2000; Volume 24
ISBNs: 978-0-8218-2054-4 (print); 978-1-4704-2079-6 (online)
DOI: https://doi.org/10.1090/gsm/024
MathSciNet review: MR1760632
MSC: Primary 11Rxx; Secondary 11-01
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. The geometry of numbers
- Chapter 3. Dedekind’s theory of ideals
- Chapter 4. Valuations
- Chapter 5. Algebraic functions of one variable
- Chapter 6. Normal extensions
- Chapter 7. $L$-series
- Chapter 8. Applications to Hecke $L$-series
- Chapter 9. Quadratic number fields
- Chapter 10. What next?
- Appendix A. Divisibility theory
- Appendix B. Trace, norm, different, and discriminant
- Appendix C. Harmonic analysis on locally compact abelian groups