Du, Xiaoying The number of positive integer points on the elliptic curve \({y^2} = pqx({x^2} + 2)\). (Chinese. English summary) Zbl 1488.14009 Math. Pract. Theory 51, No. 9, 205-209 (2021). MSC: 14H52 11D25 PDFBibTeX XMLCite \textit{X. Du}, Math. Pract. Theory 51, No. 9, 205--209 (2021; Zbl 1488.14009)
Du, Xiaoying On the exponential diophantine equation \(x^y+y^x=z^z\). (English) Zbl 1459.11092 Czech. Math. J. 67, No. 3, 645-653 (2017). MSC: 11D61 PDFBibTeX XMLCite \textit{X. Du}, Czech. Math. J. 67, No. 3, 645--653 (2017; Zbl 1459.11092) Full Text: DOI
Du, Xiaoying Positive integer solutions of Mordell’s equation \(y^3 = x^2 + 2p^4\). (Chinese. English summary) Zbl 1363.11052 Math. Pract. Theory 46, No. 1, 263-266 (2016). MSC: 11D25 11D45 PDFBibTeX XMLCite \textit{X. Du}, Math. Pract. Theory 46, No. 1, 263--266 (2016; Zbl 1363.11052)
Du, Xiaoying The hybrid power mean of two-term exponential sums and character sums. (Chinese. English summary) Zbl 1363.11081 Acta Math. Sin., Chin. Ser. 59, No. 3, 309-316 (2016). MSC: 11L05 11M06 PDFBibTeX XMLCite \textit{X. Du}, Acta Math. Sin., Chin. Ser. 59, No. 3, 309--316 (2016; Zbl 1363.11081)
Du, Xiaoying On the integer part of the \(m\)-th root and the largest \(m\)-th power not exceeding \(n\). (English) Zbl 1266.11006 Sci. Magna 2, No. 4, 91-94 (2006). MSC: 11A25 PDFBibTeX XMLCite \textit{X. Du}, Sci. Magna 2, No. 4, 91--94 (2006; Zbl 1266.11006) Full Text: Link
Du, Xiaoying On the mean value of the Smarandache LCM function \(SL(n)\). (English) Zbl 1184.11034 Sci. Magna 2, No. 2, 85-90 (2006). MSC: 11N37 PDFBibTeX XMLCite \textit{X. Du}, Sci. Magna 2, No. 2, 85--90 (2006; Zbl 1184.11034)