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，西北大学关于前言信息产业技术在高校的普及、开发专项，主持。

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).