论文标题
Zeckendorf和Base PHI扩展的数字功能之和
The sum of digits functions of the Zeckendorf and the base phi expansions
论文作者
论文摘要
我们考虑基本PHI的数字函数和自然数的Zeckendorf扩展的总和。对于两种数字函数的总和，我们都呈现在无限字母上的形态，使得被视为无限单词的这些函数是这些摩命点的固定点的字母投影。我们表征了两个函数的第一个差异a）具有广义beatty序列或广义beatty序列的工会，b）具有形态序列。
We consider the sum of digits functions for both base phi, and for the Zeckendorf expansion of the natural numbers. For both sum of digits functions we present morphisms on infinite alphabets such that these functions viewed as infinite words are letter-to-letter projections of fixed points of these morphisms. We characterize the first differences of both functions a) with generalized Beatty sequences, or unions of generalized Beatty sequences, and b) with morphic sequences.
