Advanced Topics in Computational Number Theory 0387987274, 9780387987279
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topic
837 107 6MB
English Pages 581 [599] Year 2000
Table of contents :
Front Matter....Pages i-xv
Fundamental Results and Algorithms in Dedekind Domains....Pages 1-47
Basic Relative Number Field Algorithms....Pages 49-132
The Fundamental Theorems of Global Class Field Theory....Pages 133-162
Computational Class Field Theory....Pages 163-222
Computing Defining Polynomials Using Kummer Theory....Pages 223-295
Computing Defining Polynomials Using Analytic Methods....Pages 297-346
Variations on Class and Unit Groups....Pages 347-387
Cubic Number Fields....Pages 389-428
Number Field Table Constructions....Pages 429-473
Appendix A: Theoretical Results....Pages 475-521
Appendix B: Electronic Information....Pages 523-531
Appendix C: Tables....Pages 533-548
Back Matter....Pages 549-581
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