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Polynomials with special regard to reducibility /
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomi...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cambridge ; New York :
Cambridge University Press,
2000.
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| Collection: | Encyclopedia of mathematics and its applications ;
v. 77. |
| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields. |
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| Description matérielle: | 1 online resource (x, 558 pages) |
| Bibliographie: | Includes bibliographical references (pages 540-554) and index. |
| ISBN: | 0511010656 9780511010651 0511033702 9780511033704 9780511542916 0511542917 |