Zeckendorf representations with at most two terms to x-coordinates of Pell equations

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 627-642
• 页数: 16页
• 语种: 英文

摘要

In this paper,we find all positive squarefree integers d satisfying that the Pell equation X2-dY2 =±1 has at least two positive integer solutions (X,Y) and (X',Y') such that both X and X'have Zeckendorf representations with at most two terms.