Palindromic Sequences of the Markov Spectrum
Palindromic Sequences of the Markov Spectrum
复制标题
马尔可夫谱的回文序列
作者：
Matty van
我们研究马尔可夫序列的周期，它是从马尔可夫谱中元素的连分式表达式导出的。该谱是经过特殊标准化的不定二元二次形式的最小值集合。我们证明这些序列的周期在多次循环移位后是回文的，移位次数由斯特恩双原子序列给出。
We study the periods of Markov sequences, which are derived from the continued fraction expression of elements in the Markov spectrum. This spectrum is the set of minimal values of indefinite binary quadratic forms that are specially normalised. We show that the periods of these sequences are palindromic after a number of circular shifts, the number of shifts being given by Stern’s diatomic sequence.
广义马尔可夫数
影响因子：
0.7
作者：
Karpenkov O
通讯作者：
Karpenkov O