Wolstenholme型的Fibonacci数同余式

Wolstenholme type congruences on Fibonacci numbers

推广了He等关于Wolstenholme定理的Fibonacci数模拟。利用Fibonacci数和欧拉函数的相关性质,得到Wolstenholme定理在Fibonacci数上的调和级数及多重调和级数形式的模拟。

The result of He et al. on the Fibonacci analogs of Wolstenholme’s theorem is generalized. Using related properties of Fibonacci numbers and Euler’s totient function,analogs of Wolstenholme’s theorem in both harmonic series and multiple harmonic series of Fibonacci numbers are obtained.