论文标题
二项式转换和斐波那契力的一些定理的新证明
New proofs of some theorems for binomial transform and Fibonacci powers
论文作者
论文摘要
我们写本文的目的是在下一个问题上回答V. E. Hoggatt，Jr \ cite {Hogg}和Wessner \ cite {wess}：查找$ \ sum_ {k = 0}^n \ binom {n} $ p \ equiv 3 \，mod \，4 $。 \ par case $ p \ equiv 0 \，mod \，4 $和$ p \ equiv 2 \，mod \，4 $，韦斯纳给出了答案。特别是，我们给出了另一个演讲，这是韦斯纳论文的另一个证明。我们的方法使用本质上是Boyadzhiev \ Cite {Boy}的论文
Our aim in writing this paper is to answer to both V. E. Hoggatt, JR \cite{hogg} and Wessner\cite{wess} on the next question: find $\sum_{k=0}^n\binom{n}{k}F_{[k]}^p$, for the case $p\equiv 1\, mod\, 4$ and $p\equiv 3\, mod\, 4$. \par The case $p\equiv 0\, mod \,4$ and $p\equiv 2\, mod\, 4$, Wessner has given an answer. In particular, we give another presentation, another proof of the paper of Wessner. Our method use, essentially, the paper of Boyadzhiev\cite{boy}
