Complete Solution of Diophantine Pairs Induced by Some Fibonacci Formula
| العنوان: | Complete Solution of Diophantine Pairs Induced by Some Fibonacci Formula |
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| المؤلفون: | Jinseo Park |
| المصدر: | Algebra Colloquium. 30:121-132 |
| بيانات النشر: | World Scientific Pub Co Pte Ltd, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Algebra and Number Theory, Applied Mathematics |
| الوصف: | A set [Formula: see text] of positive integers is called a Diophantine [Formula: see text]-tuple if [Formula: see text] is a perfect square for all [Formula: see text]. Let [Formula: see text] be the Diophantine triple with [Formula: see text]. In this paper, we find the condition for the reduction of third element [Formula: see text], and using this result, we prove the extendibility of Diophantine pair [Formula: see text], where [Formula: see text] is the [Formula: see text]-th Fibonacci number. |
| تدمد: | 0219-1733 1005-3867 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::0c91ba2e6e790a22ea3903b0caaffa1a https://doi.org/10.1142/s100538672300010x |
| رقم الأكسشن: | edsair.doi...........0c91ba2e6e790a22ea3903b0caaffa1a |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02191733 10053867 |
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