- 主持项目 
- 省部级: 
- ● 广义Ramanujan-Nagell方程、指数和及其应用(No.2019JM-573),陕西省自然科学基金面上项目,主持。 
- 厅局级: 
- ● 陕西省财政厅专项科研基金,amjs澳金沙门欢迎您关于前言信息产业技术在高校的普及、开发专项,主持。 
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- 发表论文 
- 1. Xiaoyan Guo,  Geng Guohua, and Lei Deli. A note on amicable numbers and their variations. Periodical Mathematica Hungarica.  2016,72(2): 148-157 . 
- 2.Xiaoyan Guo. A note on the equation (a^n-1)(b^n-1)=x^2. Periodical Mathematica Hungarica. 2013, 66(1): 87-93. 
- 3.Xiaoyan Guo, Wenpeng Zhang. A hybrid mean value related to certain Hardy sums and Kloosterman sums. Czechoslovak Mathematical Journal. 2011, 61(3): 759-769. 
- 4. Xiaoyan Guo, Jingzhe Wang. An identity involving the mean value of two-term character sum. Journal of Inequalities and Applications. 2013(533) 
- 5. Xiaoyan Guo, Guohua Geng, and Xiaowei Pan. On the forth power mean of the general kth Kloosterman sums. Advances in Difference Equations. 2014, (103). 
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