Polynomial Diophantine Equations A Systematic Approach /
This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation’s size, order all polynomial Diophantine equations by size, and then solve the equations in order. Natural questions about the solution set of Diophantine equations are studied in...
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| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
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| Редагування: | 1st ed. 2024. |
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-62949-5 |
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Зміст:
- 1 Explicit Solutions to Small Equations
- 2 Existence of Polynomial Parametrizations
- 3 Equations in Two Variables
- 4 Explicit Descriptions of the Solution Sets
- 5 The Finiteness Problem
- 6 Existence of Non-Trivial Solutions to Homogeneous Equations
- 7 Existence of Integer Solutions
- 8 Alternative Orderings of Diophantine Equations
- 9 Solutions to Selected Exercises (by Ashleigh Wilcox).