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A conjecture on rational arithmetic which implies that there is an algorithm which decides whether or not a Diophantine equation has a rational solution

机译：关于有理算术的猜想，这意味着存在一种确定Diophantine方程是否具有有理解的算法

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Tyszka Apoloniusz;
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年度 2015
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1. A conjecture on integer arithmetic which implies that there is an algorithm which to each Diophantine equation assigns an integer which is greater than the heights of integer (non-negative integer, rational) solutions, if these solutions form a finite set [J] . K. A. Germina, R. Sebastian International mathematical forum . 2013,第1a4期

机译：关于整数算术的猜想，这意味着有一个算法可以为每个Diophantine方程分配一个整数，该整数要大于整数（非负整数，有理数）解的高度（如果这些解形成有限集）
2. A conjecture on integer arithmetic which implies that there is an algorithm which to each Diophantine equation assigns an integer which is greater than the heights of integer (non-negative integer, rational) solutions, if these solutions form a finite set [J] . K. A. Germina, R. Sebastian International mathematical forum . 2013,第1a4期

机译：关于整数算术的猜想，这意味着有一个算法可以为每个Diophantine方程分配一个整数，该整数要大于整数（非负整数，有理数）解的高度（如果这些解形成有限集）
3. Rational solutions of the Diophantine equations f (x)(2) +/- f (y)(2) = z(2) [J] . Youmbai Ahmed El Amine, Behloul Djilali Periodica Mathematica Hungarica: Journal of the Janos Bolyai Mathematical Society . 2019,第2期

机译：衍生灵氨定方程的合理溶液F（x）（2）+/-f（y）（2）= z（2）
4. Is there a computable upper bound on the heights of rational solutions of a Diophantine equation with a finite number of solutions? [C] . Krzysztof Molenda, Agnieszka Peszek, Maciej Sporysz, Federated Conference on Computer Science and Information Systems . 2017

机译：在有限数量的Diophantine方程的有理解的高度上是否有可计算的上限？
5. Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture. [D] . Rocks, Brady J. 2015

机译：强因式猜想引起的Diophantine方程的不相容性。
6. The Insolubility of Sets of Diophantine Equations in the Rational Numbers [O] . Nesmith C. Ankeny 1952

机译：有理数上的Diophantine方程组的不溶性
7. RATIONAL SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS INVOLVING NORMS [O] . Maciej Ulas 2016

机译：某些涉及规范的DIOpHaNTINE方程的理性解

A conjecture on rational arithmetic which implies that there is an algorithm which decides whether or not a Diophantine equation has a rational solution

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