Computational algebraic number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel u.a.
Birkhäuser
1993
|
| Schriftenreihe: | Deutsche Mathematiker-Vereinigung: DMV-Seminar
21 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | 88 S. Ill. |
| ISBN: | 3764329130 0817629130 |
Internformat
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| 245 | 1 | 0 | |a Computational algebraic number theory |c Michael E. Pohst |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1993 | |
| 300 | |a 88 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Deutsche Mathematiker-Vereinigung: DMV-Seminar |v 21 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
Introduction 1
Topics from finite fields
§ 1 Arithmetic and polynomials 4
§ 2 Factorization of polynomials 5
Topics from the geometry of numbers
§ 1 Hermite normal form 11
§2 Lattices 13
§3 Reduction 16
§ 4 Enumeration of lattice points 24
Algebraic number fields
§ 1 Introduction 27
§2 Basic Arithmetic 31
Computation of an integral basis
§ 1 Integral closure 34
§2 Round Two Method 37
§3 Round Four Method 39
Computation of the unit group
§ 1 Dirichlet s unit theorem and a regulator bound 44
§ 2 Two methods for computing r independent units 47
§ 3 Fundamental unit computation 57
Computation of the class group
§ 1 Ideals and class number 61
§ 2 A method for computing the class group 66
Appendix
§ 1 The number field sieve 76
§2 KANT 80
References 85
Index 87
|
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| author | Pohst, Michael 1945- |
| author_GND | (DE-588)11771822X |
| author_facet | Pohst, Michael 1945- |
| author_role | aut |
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| author_variant | m p mp |
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| bvnumber | BV008025405 |
| classification_rvk | SK 180 |
| classification_tum | MAT 120f |
| ctrlnum | (OCoLC)246594401 (DE-599)BVBBV008025405 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:13:06Z |
| institution | BVB |
| isbn | 3764329130 0817629130 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005280715 |
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| physical | 88 S. Ill. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| series2 | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| spelling | Pohst, Michael 1945- Verfasser (DE-588)11771822X aut Computational algebraic number theory Michael E. Pohst Basel u.a. Birkhäuser 1993 88 S. Ill. txt rdacontent n rdamedia nc rdacarrier Deutsche Mathematiker-Vereinigung: DMV-Seminar 21 Algorithmus (DE-588)4001183-5 gnd rswk-swf Algorithmische Zahlentheorie (DE-588)4314054-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Computer (DE-588)4070083-5 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Algorithmische Zahlentheorie (DE-588)4314054-3 s Computer (DE-588)4070083-5 s Algorithmus (DE-588)4001183-5 s Deutsche Mathematiker-Vereinigung: DMV-Seminar 21 (DE-604)BV000020322 21 http://www3.ub.tu-berlin.de/ihv/000166393.pdf Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005280715&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pohst, Michael 1945- Computational algebraic number theory Deutsche Mathematiker-Vereinigung: DMV-Seminar Algorithmus (DE-588)4001183-5 gnd Algorithmische Zahlentheorie (DE-588)4314054-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Computer (DE-588)4070083-5 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4001183-5 (DE-588)4314054-3 (DE-588)4128130-5 (DE-588)4070083-5 (DE-588)4001170-7 |
| title | Computational algebraic number theory |
| title_auth | Computational algebraic number theory |
| title_exact_search | Computational algebraic number theory |
| title_full | Computational algebraic number theory Michael E. Pohst |
| title_fullStr | Computational algebraic number theory Michael E. Pohst |
| title_full_unstemmed | Computational algebraic number theory Michael E. Pohst |
| title_short | Computational algebraic number theory |
| title_sort | computational algebraic number theory |
| topic | Algorithmus (DE-588)4001183-5 gnd Algorithmische Zahlentheorie (DE-588)4314054-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Computer (DE-588)4070083-5 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Algorithmus Algorithmische Zahlentheorie Numerisches Verfahren Computer Algebraische Zahlentheorie |
| url | http://www3.ub.tu-berlin.de/ihv/000166393.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005280715&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000020322 |
| work_keys_str_mv | AT pohstmichael computationalalgebraicnumbertheory |
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