Guan, Xungui On the Diophantine equation \(X^2 - (a^2 + 1)Y^4 = k^2 - 1 - 2ka\). (Chinese. English summary) Zbl 1488.11081 J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225-234 (2021). MSC: 11D25 11J68 PDFBibTeX XMLCite \textit{X. Guan}, J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225--234 (2021; Zbl 1488.11081) Full Text: DOI
Guan, Xungui Integral points on the elliptic curve \(y^2 = x^3 + (m - 4)x - 2m\). (Chinese. English summary) Zbl 1449.11056 Adv. Math., Beijing 48, No. 6, 721-730 (2019). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, Adv. Math., Beijing 48, No. 6, 721--730 (2019; Zbl 1449.11056)
Guan, Xungui Integral points on the elliptic curve \(y^2 = x(x - p)( x - q)\). I. (Chinese. English summary) Zbl 1424.11075 Math. Pract. Theory 48, No. 4, 272-279 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, Math. Pract. Theory 48, No. 4, 272--279 (2018; Zbl 1424.11075)
Guan, Xungui Integral points on the elliptic curve \(y^2 = x(x - p)(x - q)\). II. (Chinese. English summary) Zbl 1424.11074 J. Anhui Univ., Nat. Sci. 42, No. 2, 41-46 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, J. Anhui Univ., Nat. Sci. 42, No. 2, 41--46 (2018; Zbl 1424.11074) Full Text: DOI
Guan, Xungui On the Diophantine equation \({X^2}- \left({{a^2} + 1} \right){Y^4} = 8 - 6a\). (Chinese. English summary) Zbl 1389.11079 Adv. Math., Beijing 46, No. 3, 355-372 (2017). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, Adv. Math., Beijing 46, No. 3, 355--372 (2017; Zbl 1389.11079) Full Text: DOI
Guan, Xungui Discussion on the Diophantine equation \(X^2-(a^2+1)Y^4=35-12a\). (Chinese. English summary) Zbl 1363.11054 J. Zhejiang Univ., Sci. Ed. 43, No. 2, 138-143 (2016). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, J. Zhejiang Univ., Sci. Ed. 43, No. 2, 138--143 (2016; Zbl 1363.11054) Full Text: DOI
Guan, Xungui On the Diophantine equation \(X^2-(a^2+1)Y^4 = 3-4a\). (Chinese. English summary) Zbl 1363.11053 Acta Math. Sin., Chin. Ser. 59, No. 1, 21-36 (2016). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, Acta Math. Sin., Chin. Ser. 59, No. 1, 21--36 (2016; Zbl 1363.11053)