Function field arithmetic /:
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...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
River Edge, N.J. :
World Scientific,
©2004.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xv, 388 pages) |
Bibliographie: | Includes bibliographical references (pages 373-388). |
ISBN: | 9812562389 9789812562388 9789812388391 9812388397 |
Internformat
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245 | 1 | 0 | |a Function field arithmetic / |c by Dinesh S. Thakur. |
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504 | |a Includes bibliographical references (pages 373-388). | ||
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505 | 0 | |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. | |
520 | |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 | 0 | |a Algebraic fields. |0 http://id.loc.gov/authorities/subjects/sh85048127 | |
650 | 0 | |a Arithmetic functions. |0 http://id.loc.gov/authorities/subjects/sh85007174 | |
650 | 0 | |a Drinfeld modules. |0 http://id.loc.gov/authorities/subjects/sh92004292 | |
650 | 0 | |a Algebraic stacks. |0 http://id.loc.gov/authorities/subjects/sh2003001091 | |
650 | 6 | |a Corps algébriques. | |
650 | 6 | |a Fonctions arithmétiques. | |
650 | 6 | |a Modules de Drinfeld. | |
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650 | 0 | 7 | |a Arithmetic functions. |2 cct |
650 | 0 | 7 | |a Drinfeld modules. |2 cct |
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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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author | Thakur, Dinesh S., 1961- |
author_GND | http://id.loc.gov/authorities/names/n2004003301 |
author_facet | Thakur, Dinesh S., 1961- |
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collection | ZDB-4-EBA |
contents | 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. |
ctrlnum | (OCoLC)59545605 |
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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indexdate | 2024-11-27T13:15:43Z |
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language | English |
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spelling | Thakur, Dinesh S., 1961- https://id.oclc.org/worldcat/entity/E39PBJrKXHk9PXk676BjDjpQMP http://id.loc.gov/authorities/names/n2004003301 Function field arithmetic / by Dinesh S. Thakur. River Edge, N.J. : World Scientific, ©2004. 1 online resource (xv, 388 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references (pages 373-388). Print version record. 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. Algebraic fields. http://id.loc.gov/authorities/subjects/sh85048127 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 Drinfeld modules. http://id.loc.gov/authorities/subjects/sh92004292 Algebraic stacks. http://id.loc.gov/authorities/subjects/sh2003001091 Corps algébriques. Fonctions arithmétiques. Modules de Drinfeld. MATHEMATICS Algebra Intermediate. bisacsh Algebraic fields. cct Arithmetic functions. cct Drinfeld modules. cct Algebraic stacks fast Algebraic fields fast Arithmetic functions fast Drinfeld modules fast Print version: Thakur, Dinesh S., 1961- Function field arithmetic. River Edge, N.J. : World Scientific, ©2004 9812388397 (DLC) 2004041975 (OCoLC)54677693 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=129828 Volltext |
spellingShingle | Thakur, Dinesh S., 1961- Function field arithmetic / 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. Algebraic fields. http://id.loc.gov/authorities/subjects/sh85048127 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 Drinfeld modules. http://id.loc.gov/authorities/subjects/sh92004292 Algebraic stacks. http://id.loc.gov/authorities/subjects/sh2003001091 Corps algébriques. Fonctions arithmétiques. Modules de Drinfeld. MATHEMATICS Algebra Intermediate. bisacsh Algebraic fields. cct Arithmetic functions. cct Drinfeld modules. cct Algebraic stacks fast Algebraic fields fast Arithmetic functions fast Drinfeld modules fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85048127 http://id.loc.gov/authorities/subjects/sh85007174 http://id.loc.gov/authorities/subjects/sh92004292 http://id.loc.gov/authorities/subjects/sh2003001091 |
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 | Algebraic fields. http://id.loc.gov/authorities/subjects/sh85048127 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 Drinfeld modules. http://id.loc.gov/authorities/subjects/sh92004292 Algebraic stacks. http://id.loc.gov/authorities/subjects/sh2003001091 Corps algébriques. Fonctions arithmétiques. Modules de Drinfeld. MATHEMATICS Algebra Intermediate. bisacsh Algebraic fields. cct Arithmetic functions. cct Drinfeld modules. cct Algebraic stacks fast Algebraic fields fast Arithmetic functions fast Drinfeld modules fast |
topic_facet | Algebraic fields. Arithmetic functions. Drinfeld modules. Algebraic stacks. Corps algébriques. Fonctions arithmétiques. Modules de Drinfeld. MATHEMATICS Algebra Intermediate. Algebraic stacks Algebraic fields Arithmetic functions Drinfeld modules |
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work_keys_str_mv | AT thakurdineshs functionfieldarithmetic |