Cargando…
Diophantine equations over function fields /
Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been mad...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1984.
|
| Colección: | London Mathematical Society lecture note series ;
96. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn846492937 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130603s1984 enk ob 000 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d CAMBR |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d XFH |d OCLCO |d OCLCQ |d UAB |d OCLCQ |d VTS |d REC |d OCLCO |d STF |d M8D |d OCLCO |d OCLCQ |d OCLCO |d UKAHL |d OCLCQ |d OCLCO |d OCL |d OCLCQ | ||
| 019 | |a 841397273 |a 994388559 | ||
| 020 | |a 9781107087248 |q (electronic bk.) | ||
| 020 | |a 1107087244 |q (electronic bk.) | ||
| 020 | |a 9780511752490 |q (electronic bk.) | ||
| 020 | |a 0511752490 |q (electronic bk.) | ||
| 020 | |a 1299706819 | ||
| 020 | |a 9781299706811 | ||
| 020 | |z 0521269830 | ||
| 020 | |z 9780521269834 | ||
| 029 | 1 | |a DEBBG |b BV043101554 | |
| 029 | 1 | |a DEBSZ |b 421262494 | |
| 029 | 1 | |a GBVCP |b 804684642 | |
| 035 | |a (OCoLC)846492937 |z (OCoLC)841397273 |z (OCoLC)994388559 | ||
| 050 | 4 | |a QA242 |b .M398 1984eb | |
| 072 | 7 | |a MAT |x 022000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.74 |2 22 |
| 084 | |a SI 320 |2 rvk | ||
| 084 | |a SK 180 |2 rvk | ||
| 084 | |a MAT 102f |2 stub | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Mason, R. C. | |
| 245 | 1 | 0 | |a Diophantine equations over function fields / |c R.C. Mason. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1984. | ||
| 300 | |a 1 online resource (x, 125 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series, |x 0076-0552 ; |v 96 | |
| 500 | |a Based, in part, on the author's Ph. D. thesis--University of Cambridge, 1983. | ||
| 504 | |a Includes bibliographical references (pages 124-125). | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 520 | |a Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations. The latter is the purpose and achievement of this volume: algorithms are provided for the complete resolution of various families of equations, such as those of Thue, hyperelliptic and genus one type. The results are achieved by means of an original fundamental inequality, first announced by the author in 1982. Several specific examples are included as illustrations of the general method and as a testimony to its efficiency. Furthermore, bounds are obtained on the solutions which improve on those obtained previously by other means. Extending the equality to a different setting, namely that of positive characteristic, enables the various families of equations to be resolved in that circumstance. Finally, by applying the inequality in a different manner, simple bounds are determined on their solutions in rational functions of the general superelliptic equation. This book represents a self-contained account of a new approach to the subject, and one which plainly has not reached the full extent of its application. It also provides a more direct on the problems than any previous book. Little expert knowledge is required to follow the theory presented, and it will appeal to professional mathematicians, research students and the enthusiastic undergraduate. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Diophantine equations. | |
| 650 | 0 | |a Algebraic fields. | |
| 650 | 0 | |a Diophantine analysis. | |
| 650 | 6 | |a Analyse diophantienne. | |
| 650 | 6 | |a Corps algébriques. | |
| 650 | 6 | |a Équations diophantiennes. | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a Diophantine analysis. |2 fast |0 (OCoLC)fst00894086 | |
| 650 | 7 | |a Algebraic fields. |2 fast |0 (OCoLC)fst00804931 | |
| 650 | 7 | |a Diophantine equations. |2 fast |0 (OCoLC)fst00894090 | |
| 650 | 7 | |a Diophantische Gleichung |2 gnd | |
| 650 | 7 | |a Funktionenkörper |2 gnd | |
| 650 | 7 | |a Analyse diophantienne. |2 ram | |
| 650 | 7 | |a Corps algébriques. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Mason, R.C. |t Diophantine equations over function fields. |d Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984 |z 0521269830 |w (DLC) 84001900 |w (OCoLC)10430214 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 96. |x 0076-0552 | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569288 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25052310 | ||
| 938 | |a EBSCOhost |b EBSC |n 569288 | ||
| 938 | |a YBP Library Services |b YANK |n 10440753 | ||
| 938 | |a YBP Library Services |b YANK |n 10734742 | ||
| 994 | |a 92 |b IZTAP | ||