Computational algebraic number theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel u.a.
Birkhäuser
1993
|
| Series: | Deutsche Mathematiker-Vereinigung: DMV-Seminar
21 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | 88 S. Ill. |
| ISBN: | 3764329130 0817629130 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008025405 | ||
| 003 | DE-604 | ||
| 005 | 20151209 | ||
| 007 | t | ||
| 008 | 930628s1993 gw a||| |||| 00||| eng d | ||
| 020 | |a 3764329130 |9 3-7643-2913-0 | ||
| 020 | |a 0817629130 |9 0-8176-2913-0 | ||
| 035 | |a (OCoLC)246594401 | ||
| 035 | |a (DE-599)BVBBV008025405 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 |a DE-739 |a DE-355 |a DE-20 |a DE-29T |a DE-91G |a DE-703 |a DE-83 |a DE-11 |a DE-188 | ||
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a MAT 120f |2 stub | ||
| 084 | |a 11Y40 |2 msc | ||
| 100 | 1 | |a Pohst, Michael |d 1945- |e Verfasser |0 (DE-588)11771822X |4 aut | |
| 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 | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Deutsche Mathematiker-Vereinigung: DMV-Seminar |v 21 | |
| 650 | 0 | 7 | |a Algorithmus |0 (DE-588)4001183-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algorithmische Zahlentheorie |0 (DE-588)4314054-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computer |0 (DE-588)4070083-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |D s |
| 689 | 1 | 1 | |a Algorithmische Zahlentheorie |0 (DE-588)4314054-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |D s |
| 689 | 2 | 1 | |a Computer |0 (DE-588)4070083-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Algebraische Zahlentheorie |0 (DE-588)4001170-7 |D s |
| 689 | 3 | 1 | |a Algorithmus |0 (DE-588)4001183-5 |D s |
| 689 | 3 | |5 DE-604 | |
| 830 | 0 | |a Deutsche Mathematiker-Vereinigung: DMV-Seminar |v 21 |w (DE-604)BV000020322 |9 21 | |
| 856 | 4 | |u http://www3.ub.tu-berlin.de/ihv/000166393.pdf |3 Inhaltsverzeichnis | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005280715 | ||
Record in the Search Index
| _version_ | 1804122389367226368 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Pohst, Michael 1945- |
| author_GND | (DE-588)11771822X |
| author_facet | Pohst, Michael 1945- |
| author_role | aut |
| author_sort | Pohst, Michael 1945- |
| author_variant | m p mp |
| building | Verbundindex |
| bvnumber | BV008025405 |
| classification_rvk | SK 180 |
| classification_tum | MAT 120f |
| ctrlnum | (OCoLC)246594401 (DE-599)BVBBV008025405 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02369nam a2200565 cb4500</leader><controlfield tag="001">BV008025405</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151209 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930628s1993 gw a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764329130</subfield><subfield code="9">3-7643-2913-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817629130</subfield><subfield code="9">0-8176-2913-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246594401</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008025405</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 120f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11Y40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Pohst, Michael</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)11771822X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational algebraic number theory</subfield><subfield code="c">Michael E. Pohst</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel u.a.</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">88 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Deutsche Mathematiker-Vereinigung: DMV-Seminar</subfield><subfield code="v">21</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algorithmus</subfield><subfield code="0">(DE-588)4001183-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algorithmische Zahlentheorie</subfield><subfield code="0">(DE-588)4314054-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Computer</subfield><subfield code="0">(DE-588)4070083-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Algorithmische Zahlentheorie</subfield><subfield code="0">(DE-588)4314054-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Computer</subfield><subfield code="0">(DE-588)4070083-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Algebraische Zahlentheorie</subfield><subfield code="0">(DE-588)4001170-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Algorithmus</subfield><subfield code="0">(DE-588)4001183-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Deutsche Mathematiker-Vereinigung: DMV-Seminar</subfield><subfield code="v">21</subfield><subfield code="w">(DE-604)BV000020322</subfield><subfield code="9">21</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www3.ub.tu-berlin.de/ihv/000166393.pdf</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005280715</subfield></datafield></record></collection> |
| id | DE-604.BV008025405 |
| 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 |
| oclc_num | 246594401 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-355 DE-BY-UBR DE-20 DE-29T DE-91G DE-BY-TUM DE-703 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-739 DE-355 DE-BY-UBR DE-20 DE-29T DE-91G DE-BY-TUM DE-703 DE-83 DE-11 DE-188 |
| 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 |
There is no print copy available.
Indexes