皮莱对斐波那契和帕多万序列的问题

IF 0.3 Q4 MATHEMATICS Annales Mathematicae et Informaticae Pub Date : 2019-01-01 DOI:10.33039/ami.2019.09.001

Ana Cecilia García Lomelí, S. Hernández, F. Luca

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引用次数: 3

摘要

让(𝐹𝑚)𝑚> 0,(𝑃𝑛)𝑛> 0是斐波那契和Padovan序列的初始条件𝐹0 = 0,𝐹1 = 1,𝑃0 = 0,𝑃1 =𝑃2 = 1,递推公式𝐹𝑚+ 2 =𝐹𝑚+ 1 +𝐹𝑚,𝑃𝑛+ 3 =𝑃𝑛+ 1 +𝑃𝑛𝑚,𝑛> 0,分别。在这篇笔记中，我们研究并彻底解决了丢番图

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Pillai’s problem with the Fibonacci andPadovan sequences

Let ( 𝐹 𝑚 ) 𝑚 > 0 and ( 𝑃 𝑛 ) 𝑛 > 0 be the Fibonacci and Padovan sequences given by the initial conditions 𝐹 0 = 0 , 𝐹 1 = 1 , 𝑃 0 = 0 , 𝑃 1 = 𝑃 2 = 1 and the recurrence formulas 𝐹 𝑚 +2 = 𝐹 𝑚 +1 + 𝐹 𝑚 , 𝑃 𝑛 +3 = 𝑃 𝑛 +1 + 𝑃 𝑛 for all 𝑚, 𝑛 > 0 , respectively. In this note we study and completely solve the Diophantine

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Annales Mathematicae et Informaticae MATHEMATICS-

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0.90

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