Unit equations in diophantine number theory:
Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2015
|
| Series: | Cambridge studies in advanced mathematics
146 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field |
| Physical Description: | 1 online resource (xv, 363 Seiten) |
| ISBN: | 9781316160749 |
| DOI: | 10.1017/CBO9781316160749 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316160749 |
| language | English |
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| publishDate | 2015 |
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| spelling | Evertse, Jan Hendrik 1958- Verfasser (DE-588)141300558 aut Unit equations in diophantine number theory Jan-Hendrik Evertse, Kálmán Győry Cambridge Cambridge University Press 2015 1 online resource (xv, 363 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 146 Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field Number theory Diophantische Gleichung (DE-588)4012386-8 gnd rswk-swf Diophantische Gleichung (DE-588)4012386-8 s DE-604 Győry, Kálmán 1940- Sonstige (DE-588)1077834187 oth Erscheint auch als Druck-Ausgabe 978-1-107-09760-5 Cambridge studies in advanced mathematics 146 (DE-604)BV044781283 146 https://doi.org/10.1017/CBO9781316160749 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Evertse, Jan Hendrik 1958- Unit equations in diophantine number theory Cambridge studies in advanced mathematics Number theory Diophantische Gleichung (DE-588)4012386-8 gnd |
| subject_GND | (DE-588)4012386-8 |
| title | Unit equations in diophantine number theory |
| title_auth | Unit equations in diophantine number theory |
| title_exact_search | Unit equations in diophantine number theory |
| title_full | Unit equations in diophantine number theory Jan-Hendrik Evertse, Kálmán Győry |
| title_fullStr | Unit equations in diophantine number theory Jan-Hendrik Evertse, Kálmán Győry |
| title_full_unstemmed | Unit equations in diophantine number theory Jan-Hendrik Evertse, Kálmán Győry |
| title_short | Unit equations in diophantine number theory |
| title_sort | unit equations in diophantine number theory |
| topic | Number theory Diophantische Gleichung (DE-588)4012386-8 gnd |
| topic_facet | Number theory Diophantische Gleichung |
| url | https://doi.org/10.1017/CBO9781316160749 |
| volume_link | (DE-604)BV044781283 |
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