Unit Equations in Diophantine Number Theory
Unit Equations in Diophantine Number Theory
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DOI：
10.1017/cbo9781316160749
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发表时间：
2015-12
期刊：
影响因子：
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通讯作者：
J. Evertse;K. Gyory
中科院分区：
文献类型：
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作者：
J. Evertse;K. Gyory
常用记谱法词汇第一部分。1.基本代数数论2. 3.第三章丢番图逼近与超越理论的工具第二部分。单位方程及应用：4.数域上二元单位方程的有效结果5.两个未知数中单位方程的数学解析度6.单位方程在几个未知数7.模拟功能字段8.单位方程的有效结果9.可分解的形式方程10.更多应用参考文献索引。
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.