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Polynomials with Special Regard to Reducibility.
・ISBN 978-0-521-66225-3 hard GB£ 173.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54291-6
| 著者・編者 | Schinzel, A., |
|---|---|
| シリーズ | Encyclopedia of Mathematics and its Applications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2000 |
| ページ数 | 570 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10795＞ |
解説
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.