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Effective Results and Methods for Diophantine...(London Mathematical Society Lecture Note Ser: LMS 475) paper 300 p. 22

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発行年月	2022年04月
出版社／提供元	Cambridge University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	paper
ページ数／巻数	300 p.
ジャンル	洋書
ISBN	9781009005852
商品コード	1033701648
本の性格	テキスト/学術書
新刊案内掲載月	2022年01月
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1033701648

内容

This book provides a comprehensive guide to Diophantine equations over finitely generated domains, with a focus on proving effective finiteness results. No specialized knowledge is required, enabling graduate students and experts alike to learn the necessary techniques and apply them in their own research.

Preface; Glossary of frequently used notation; History and summary; 1. Ineffective results for Diophantine equations over finitely generated domains; 2. Effective results for Diophantine equations over finitely generated domains: the statements; 3. A brief explanation of our effective methods over finitely generated domains; 4. Effective results over number fields; 5. Effective results over function fields; 6. Tools from effective commutative algebra; 7. The effective specialization method; 8. Degree-height estimates; 9. Proofs of the results from Sections 2.2–2.5 - use of specializations; 10. Proofs of the results from Sections 2.6–2.8 - reduction to unit equations; References; Index.

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