Unit equations in diophantine number theory
著者
書誌事項
Unit equations in diophantine number theory
(Cambridge studies in advanced mathematics, 146)
Cambridge University Press, 2015
- : hbk
大学図書館所蔵 全29件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references (p. 337-357) and index
内容説明・目次
内容説明
Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.
目次
- Preface
- Summary
- Glossary of frequently used notation
- Part I. Preliminaries: 1. Basic algebraic number theory
- 2. Algebraic function fields
- 3. Tools from Diophantine approximation and transcendence theory
- Part II. Unit equations and applications: 4. Effective results for unit equations in two unknowns over number fields
- 5. Algorithmic resolution of unit equations in two unknowns
- 6. Unit equations in several unknowns
- 7. Analogues over function fields
- 8. Effective results for unit equations over finitely generated domains
- 9. Decomposable form equations
- 10. Further applications
- References
- Index.
「Nielsen BookData」 より