Effective results and methods for Diophantine equations over finitely generated domains:
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; zr may be algebra...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2022
|
| Series: | London mathematical society lecture note series
475 |
| Subjects: | |
| Online Access: | Rezension |
| Summary: | "This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; zr may be algebraic or transcendental over Q. For instance, the ring of integers and the rings of S-integers of a number field are finitely generated domains where all generators are algebraic. Our aim is to prove effective finiteness results for certain classes of Diophantine equations, i.e., results that not only show that the equations from the said classes have only finitely many solutions, but whose proofs provide methods to determine the solutions in principle"-- |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xxiv, 216 Seiten |
| ISBN: | 9781009005852 |
Staff View
MARC
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| author | Evertse, Jan Hendrik 1958- Győry, Kálmán 1940- |
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| id | DE-604.BV048240565 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:54:04Z |
| indexdate | 2024-07-10T09:32:51Z |
| institution | BVB |
| isbn | 9781009005852 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033621067 |
| oclc_num | 1315744423 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xxiv, 216 Seiten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | London mathematical society lecture note series |
| series2 | London mathematical society lecture note series |
| spelling | Evertse, Jan Hendrik 1958- Verfasser (DE-588)141300558 aut Effective results and methods for Diophantine equations over finitely generated domains Jan-Hendrik Evertse (Leiden University), Kálmán Győry (University of Debrecen) Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore Cambridge University Press 2022 xxiv, 216 Seiten txt rdacontent n rdamedia nc rdacarrier London mathematical society lecture note series 475 Includes bibliographical references and index "This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; zr may be algebraic or transcendental over Q. For instance, the ring of integers and the rings of S-integers of a number field are finitely generated domains where all generators are algebraic. Our aim is to prove effective finiteness results for certain classes of Diophantine equations, i.e., results that not only show that the equations from the said classes have only finitely many solutions, but whose proofs provide methods to determine the solutions in principle"-- Diophantische Gleichung (DE-588)4012386-8 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Diophantine equations Diophantine analysis Number theory MATHEMATICS / Number Theory Zahlentheorie (DE-588)4067277-3 s Diophantische Gleichung (DE-588)4012386-8 s DE-604 Győry, Kálmán 1940- Verfasser (DE-588)1077834187 aut Erscheint auch als Online-Ausgabe 978-1-009-04210-9 Erscheint auch als Evertse, Jan-Hendrik Effective Results and Methods for Diophantine Equations over Finitely Generated Domains Cambridge : Cambridge University Press, 2022 1 online resource (242 pages) Online-Ausgabe 978-1-009-05003-6 London mathematical society lecture note series 475 (DE-604)BV000000130 475 https://zbmath.org/?q=an%3A7504319 zbMATH Rezension |
| spellingShingle | Evertse, Jan Hendrik 1958- Győry, Kálmán 1940- Effective results and methods for Diophantine equations over finitely generated domains London mathematical society lecture note series Diophantische Gleichung (DE-588)4012386-8 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4012386-8 (DE-588)4067277-3 |
| title | Effective results and methods for Diophantine equations over finitely generated domains |
| title_auth | Effective results and methods for Diophantine equations over finitely generated domains |
| title_exact_search | Effective results and methods for Diophantine equations over finitely generated domains |
| title_exact_search_txtP | Effective results and methods for Diophantine equations over finitely generated domains |
| title_full | Effective results and methods for Diophantine equations over finitely generated domains Jan-Hendrik Evertse (Leiden University), Kálmán Győry (University of Debrecen) |
| title_fullStr | Effective results and methods for Diophantine equations over finitely generated domains Jan-Hendrik Evertse (Leiden University), Kálmán Győry (University of Debrecen) |
| title_full_unstemmed | Effective results and methods for Diophantine equations over finitely generated domains Jan-Hendrik Evertse (Leiden University), Kálmán Győry (University of Debrecen) |
| title_short | Effective results and methods for Diophantine equations over finitely generated domains |
| title_sort | effective results and methods for diophantine equations over finitely generated domains |
| topic | Diophantische Gleichung (DE-588)4012386-8 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Diophantische Gleichung Zahlentheorie |
| url | https://zbmath.org/?q=an%3A7504319 |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT evertsejanhendrik effectiveresultsandmethodsfordiophantineequationsoverfinitelygenerateddomains AT gyorykalman effectiveresultsandmethodsfordiophantineequationsoverfinitelygenerateddomains |