摘要
In this paper,we find all positive squarefree integers d satisfying that the Pell equation X^2-d Y^2=±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.
In this paper, we find all positive squarefree integers d satisfying that the Pell equation X^2-d Y^2=±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.
基金
supported by the project from Universidad del Valle(Grant No.71079)
supported by NRF of South Africa(Grant No.CPRR160325161141)
an A-Rated Scientist Award from the NRF of South Africa and by Czech Granting Agency(Grant No.17-02804S)。
