一类三次Pisot数的一些性质

摘要

本文研究了当q>1为三次Pisot数,利用递归的方法构造一个无穷序列,通过对此序列,得到m(R)[q]∩Z[q]与此序列间和m(R)[q]与m(R)[q]∩Z[q]之间的一些关系.%Let q>1 be a class of cubic Pisot number, we construct an infinite sequence and get some relations between(R)[q]∩Z[q] and the sequence; using the result we also obtain some connections between(R)[q] and m(R)[q]∩Z[q].