@article{YAN2025, 
author = {Dangdang YAN and Hai YANG and Yingrui MA},
title = {The common solutions of Pell equations x2-(a2b2±a)y2=1 and y2-2p1p2p3z2=4b2},
year = {2025},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {46},
number = {2},
pages = {31-37},
keywords = {Pell equations, nonnegative integer solution, odd prime},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2025.02.005},
doi = {10.19789/j.1004-9398.2025.02.005},
abstract = {Let              p              1        ,            p              2        ,            p              3       be three distinct odd primes and let    a  ≥  2,    b  ≥  1 be two integers. All nonnegative integer solutions        (          x      ,      y      ,      z        )   of Pell equation              x              2        −      (                            a                          2                                      b                          2                    ±      a        )              y              2        =  1 and              y              2        −  2            p              1                  p              2                  p              3                  z              2        =  4            b              2       were given. Thus, the results of reference [12] were generalized.}
}