Elementary and analytic theory of algebraic numbers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Edition: | 3. ed. |
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 535 - 683 |
| Physical Description: | X, 708 S. |
| ISBN: | 3540219021 |
Staff View
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Record in the Search Index
| _version_ | 1804133536103399424 |
|---|---|
| adam_text | WTADYSTAW NARKIEWICZ ELEMENTARY AND ANALYTIC THEORY OF ALGEBRAIC NUMBERS
THIRD EDITION SPRINGER TABLE OF CONTENTS NOTATION XI 1. DEDEKIND DOMAINS
AND VALUATIONS 1 1.1. DEDEKIND DOMAINS 1 1.2. VALUATIONS AND EXPONENTS
16 1.3. FINITELY GENERATED MODULES OVER DEDEKIND DOMAINS 24 1.4. NOTES
TO CHAPTER 1 37 EXERCISES 40 2. ALGEBRAIC NUMBERS AND INTEGERS 43 2.1.
DISTRIBUTION OF INTEGERS IN THE COMPLEX PLANE 43 2.2. DISCRIMINANTS AND
INTEGRAL BASES 52 2.3. APPLICATIONS OF MINKOWSKI E CONVEX BODY THEOREM
....... 66 2.4. NOTES TO CHAPTER 2 69 EXERCISES 82 3. UNITS AND IDEAL
CLASSES 85 3.1. VALUATIONS OF ALGEBRAIC NUMBER FIELDS 85 3.2. IDEAL
CLASSES 92 3.3. UNITS 96 3.4. EUCLIDEAN ALGORITHM 115 3.5. NOTES TO
CHAPTER 3 119 EXERCISES 132 4. EXTENSIONS 135 4.1. THE HOMOMORPHISMS OF
INJECTION AND NORM 135 4.2. DIFFERENT AND DISCRIMINANT 146 4.3.
FACTORIZATION OF PRIME IDEALS IN EXTENSIONS. MORE ABOUT THE CLASS GROUP
167 4.4. NOTES TO CHAPTER 4 185 EXERCISES 196 X TABLE OF CONTENTS 5.
P-ADIC FIELDS 199 5.1. PRINCIPAL PROPERTIES 199 5.2. EXTENSIONS OF
P-ADIC FIELDS 221 5.3. HARMONIC ANALYSIS IN P-ADIC FIELDS 237 5.4. NOTES
TO CHAPTER 5 250 EXERCISES 254 6. APPLICATIONS OF THE THEORY OF *J3-ADIC
FIELDS 257 6.1 ARITHMETICAL APPLICATIONS 257 6.2. ADELES AND IDELES 286
6.3. NOTES TO CHAPTER 6 307 EXERCISES 312 7. ANALYTICAL METHODS 313 7.1.
THE CLASSICAL ZETA-FUNCTIONS 313 7.2. ASYMPTOTIC DISTRIBUTION OF IDEALS
AND PRIME IDEALS 343 7.3. CHEBOTAREV S THEOREM . 364 7.4. NOTES TO
CHAPTER 7 389 EXERCISES 405 8. ABELIAN FIELDS 409 8.1. MAIN PROPERTIES
409 8.2. THE CLASS-NUMBER FORMULA AND THE SIEGEL-BRAUER THEOREM 423 8.3.
CLASS-NUMBER OF QUADRATIC FIELDS 436 8.4. NOTES TO CHAPTER 8 459
EXERCISES 482 9. FACTORIZATIONS 485 9.1. ELEMENTARY APPROACH 485 9.2.
QUANTITATIVE RESULTS 496 9.3. NOTES TO CHAPTER 9 507 EXERCISES 509
APPENDIX I. LOCALLY COMPACT ABELIAN GROUPS 511 APPENDIX II. FUNCTION
THEORY 525 APPENDIX III. BAKER S METHOD 527 PROBLEMS 529 REFERENCES 535
AUTHOR INDEX 685 SUBJECT INDEX 701 LIST OF SYMBOLS 707
|
| any_adam_object | 1 |
| author | Narkiewicz, Władysław 1936- |
| author_GND | (DE-588)11036676X |
| author_facet | Narkiewicz, Władysław 1936- |
| author_role | aut |
| author_sort | Narkiewicz, Władysław 1936- |
| author_variant | w n wn |
| building | Verbundindex |
| bvnumber | BV019990169 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)249606883 (DE-599)BVBBV019990169 |
| dewey-full | 512.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 |
| dewey-search | 512.74 |
| dewey-sort | 3512.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV019990169 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:10:16Z |
| institution | BVB |
| isbn | 3540219021 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013312105 |
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| owner_facet | DE-824 DE-83 DE-11 |
| physical | X, 708 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Narkiewicz, Władysław 1936- Verfasser (DE-588)11036676X aut Elementary and analytic theory of algebraic numbers Władysław Narkiewicz 3. ed. Berlin [u.a.] Springer 2004 X, 708 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 535 - 683 Algebraische Zahlentheorie Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf Algebraische Zahl (DE-588)4141847-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s DE-604 Algebraische Zahl (DE-588)4141847-5 s 1\p DE-604 Analytische Zahlentheorie (DE-588)4001870-2 s 2\p DE-604 Zahlentheorie (DE-588)4067277-3 s 3\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013312105&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Narkiewicz, Władysław 1936- Elementary and analytic theory of algebraic numbers Algebraische Zahlentheorie Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd Analytische Zahlentheorie (DE-588)4001870-2 gnd Algebraische Zahl (DE-588)4141847-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4001870-2 (DE-588)4141847-5 (DE-588)4067277-3 |
| title | Elementary and analytic theory of algebraic numbers |
| title_auth | Elementary and analytic theory of algebraic numbers |
| title_exact_search | Elementary and analytic theory of algebraic numbers |
| title_full | Elementary and analytic theory of algebraic numbers Władysław Narkiewicz |
| title_fullStr | Elementary and analytic theory of algebraic numbers Władysław Narkiewicz |
| title_full_unstemmed | Elementary and analytic theory of algebraic numbers Władysław Narkiewicz |
| title_short | Elementary and analytic theory of algebraic numbers |
| title_sort | elementary and analytic theory of algebraic numbers |
| topic | Algebraische Zahlentheorie Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd Analytische Zahlentheorie (DE-588)4001870-2 gnd Algebraische Zahl (DE-588)4141847-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Algebraische Zahlentheorie Algebraic number theory Analytische Zahlentheorie Algebraische Zahl Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013312105&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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