Advanced Topics in Computational Number Theory / by Henri Cohen.
The present book addresses a number of specific topics in computational number theory whereby the author is not attempting to be exhaustive in the choice of subjects. The book is organized as follows. Chapters 1 and 2 contain the theory and algorithms concerning Dedekind domains and relative extensi...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2000.
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| Series: | Graduate texts in mathematics ;
193. |
| Subjects: |
Table of Contents:
- Fundamental Results and Algorithms in Dedekind domains
- Basic Relative Number Field Algorithms
- The Fundamental Theorems of Global Class Field Theory
- Computational Class Field Theory
- Computing Defining Equations
- Cubic Number Fields
- Ramification, Conductors and Discriminants
- Relative Class Groups, Units and Regulators
- Inverting Prime Ideals
- Algorithms for p-adic fields.