Function field arithmetic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, N.J.
World Scientific
©2004
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 373-388) Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems |
| Physical Description: | 1 Online-Ressource (xv, 388 pages) |
| ISBN: | 9789812388391 9789812562388 9812388397 9812562389 |
Staff View
MARC
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| 245 | 1 | 0 | |a Function field arithmetic |c by Dinesh S. Thakur |
| 264 | 1 | |a River Edge, N.J. |b World Scientific |c ©2004 | |
| 300 | |a 1 Online-Ressource (xv, 388 pages) | ||
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| 500 | |a Includes bibliographical references (pages 373-388) | ||
| 500 | |a Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography | ||
| 500 | |a This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems | ||
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
| 650 | 7 | |a Algebraic fields |2 fast | |
| 650 | 7 | |a Arithmetic functions |2 fast | |
| 650 | 7 | |a Drinfeld modules |2 fast | |
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| 650 | 7 | |a Arithmetic functions |2 cct | |
| 650 | 7 | |a Drinfeld modules |2 cct | |
| 650 | 4 | |a Algebraic fields | |
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Record in the Search Index
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| any_adam_object | |
| author | Thakur, Dinesh S. |
| author_facet | Thakur, Dinesh S. |
| author_role | aut |
| author_sort | Thakur, Dinesh S. |
| author_variant | d s t ds dst |
| building | Verbundindex |
| bvnumber | BV043133798 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)59545605 (DE-599)BVBBV043133798 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043133798 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:28Z |
| institution | BVB |
| isbn | 9789812388391 9789812562388 9812388397 9812562389 |
| language | English |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xv, 388 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
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| spelling | Thakur, Dinesh S. Verfasser aut Function field arithmetic by Dinesh S. Thakur River Edge, N.J. World Scientific ©2004 1 Online-Ressource (xv, 388 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 373-388) Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems MATHEMATICS / Algebra / Intermediate bisacsh Algebraic fields fast Arithmetic functions fast Drinfeld modules fast Algebraic fields cct Arithmetic functions cct Drinfeld modules cct Algebraic fields Arithmetic functions Drinfeld modules Funktionenkörper (DE-588)4155688-4 gnd rswk-swf Drinfeld-Modul (DE-588)4132653-2 gnd rswk-swf Zahlkörper (DE-588)4067273-6 gnd rswk-swf Zahlkörper (DE-588)4067273-6 s Funktionenkörper (DE-588)4155688-4 s Drinfeld-Modul (DE-588)4132653-2 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=129828 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Thakur, Dinesh S. Function field arithmetic MATHEMATICS / Algebra / Intermediate bisacsh Algebraic fields fast Arithmetic functions fast Drinfeld modules fast Algebraic fields cct Arithmetic functions cct Drinfeld modules cct Algebraic fields Arithmetic functions Drinfeld modules Funktionenkörper (DE-588)4155688-4 gnd Drinfeld-Modul (DE-588)4132653-2 gnd Zahlkörper (DE-588)4067273-6 gnd |
| subject_GND | (DE-588)4155688-4 (DE-588)4132653-2 (DE-588)4067273-6 |
| title | Function field arithmetic |
| title_auth | Function field arithmetic |
| title_exact_search | Function field arithmetic |
| title_full | Function field arithmetic by Dinesh S. Thakur |
| title_fullStr | Function field arithmetic by Dinesh S. Thakur |
| title_full_unstemmed | Function field arithmetic by Dinesh S. Thakur |
| title_short | Function field arithmetic |
| title_sort | function field arithmetic |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Algebraic fields fast Arithmetic functions fast Drinfeld modules fast Algebraic fields cct Arithmetic functions cct Drinfeld modules cct Algebraic fields Arithmetic functions Drinfeld modules Funktionenkörper (DE-588)4155688-4 gnd Drinfeld-Modul (DE-588)4132653-2 gnd Zahlkörper (DE-588)4067273-6 gnd |
| topic_facet | MATHEMATICS / Algebra / Intermediate Algebraic fields Arithmetic functions Drinfeld modules Funktionenkörper Drinfeld-Modul Zahlkörper |
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