Number theory in function fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2002
|
| Series: | Graduate texts in mathematics
210 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke, Literaturverz. S. [341] - 351 |
| Physical Description: | XII, 358 S. |
| ISBN: | 0387953353 9781441929549 |
Staff View
MARC
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| 490 | 1 | |a Graduate texts in mathematics |v 210 | |
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Record in the Search Index
| _version_ | 1804128970045652992 |
|---|---|
| adam_text | Contents
Preface
vii
1
Polynomials over Finite Fields
1
Exercises
............................... 7
2
Primes, Arithmetic Functions, and the
Zeta
Function
11
Exercises
............................... 19
3
The Reciprocity Law
23
Exercises
............................... 30
4
Dirichlet L-Series and Primes in an Arithmetic Progression
33
Exercises
............................... 43
5
Algebraic Function Fields and Global Function Fields
45
Exercises
............................... 59
6
Weil Differentials and the Canonical Class
63
Exercises
............................... 75
7
Extensions of Function Fields, Riemann-Hurwitz,
and the ABC Theorem
77
Exercises
............................... 98
xii Contents
8
Constant
Field Extensions
101
Exercises
............................... 112
9
Galois Extensions
- Hecke
and
Artin L-Series 115
Exercises
............................... 145
10
Artin s Primitive Root Conjecture
149
Exercises
............................... 166
11
The Behavior of the Class Group in Constant Field Extensions
169
Exercises
............................... 190
12
Cyclotomic Function Fields
193
Exercises
............................... 216
13
Drinfeld Modules: An Introduction
219
Exercises
............................... 239
14
S-Units, 5-Class Group, and the Corresponding L-Functions
241
Exercises
............................... 256
15
The Brumer-Stark Conjecture
257
Exercises
............................... 278
16
The Class Number Formulas in Quadratic
and Cyclotomic Function Fields
283
Exercises
............................... 302
17
Average Value Theorems in Function Fields
305
Exercises
............................... 326
Appendix: A Proof of the Function Field Riemann Hypothesis
329
Bibliography
341
Author Index
353
Subject Index
355
|
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| classification_tum | MAT 120f |
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| dewey-full | 512.7 |
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014103945 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:57:42Z |
| institution | BVB |
| isbn | 0387953353 9781441929549 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009661766 |
| oclc_num | 248030386 |
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| physical | XII, 358 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Rosen, Michael Ira 1938-1954 Verfasser (DE-588)123553970 aut Number theory in function fields Michael Rosen New York [u.a.] Springer 2002 XII, 358 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 210 Hier auch später erschienene, unveränderte Nachdrucke, Literaturverz. S. [341] - 351 Zahlentheorie - Algebraischer Funktionenkörper Finite fields (Algebra) Number theory Funktionenkörper (DE-588)4155688-4 gnd rswk-swf Algebraischer Funktionenkörper (DE-588)4141850-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Algebraischer Funktionenkörper (DE-588)4141850-5 s DE-604 Funktionenkörper (DE-588)4155688-4 s Graduate texts in mathematics 210 (DE-604)BV000000067 210 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009661766&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosen, Michael Ira 1938-1954 Number theory in function fields Graduate texts in mathematics Zahlentheorie - Algebraischer Funktionenkörper Finite fields (Algebra) Number theory Funktionenkörper (DE-588)4155688-4 gnd Algebraischer Funktionenkörper (DE-588)4141850-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4155688-4 (DE-588)4141850-5 (DE-588)4067277-3 |
| title | Number theory in function fields |
| title_auth | Number theory in function fields |
| title_exact_search | Number theory in function fields |
| title_full | Number theory in function fields Michael Rosen |
| title_fullStr | Number theory in function fields Michael Rosen |
| title_full_unstemmed | Number theory in function fields Michael Rosen |
| title_short | Number theory in function fields |
| title_sort | number theory in function fields |
| topic | Zahlentheorie - Algebraischer Funktionenkörper Finite fields (Algebra) Number theory Funktionenkörper (DE-588)4155688-4 gnd Algebraischer Funktionenkörper (DE-588)4141850-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Zahlentheorie - Algebraischer Funktionenkörper Finite fields (Algebra) Number theory Funktionenkörper Algebraischer Funktionenkörper Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009661766&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT rosenmichaelira numbertheoryinfunctionfields |