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On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function
Mathematics ( IF 2.3 ) Pub Date : 2020-10-16 , DOI: 10.3390/math8101796
Štěpán Hubálovský , Eva Trojovská

Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest positive integer k such that Fk0(modn). In this paper, we shall find all positive solutions of the Diophantine equation z(φ(n))=n, where φ is the Euler totient function.

中文翻译:

出现阶与欧拉函数之间的迭代不动点

Fñ是第n个斐波那契数。出现顺序žñ的自然数Ñ被定义为最小的正整数ķ使得Fķ0ñ。在本文中,我们将找到Diophantine方程的所有正解žφñ=ñ,在哪里 φ 是Euler上位函数。
更新日期:2020-10-17
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