学科信息

研究方向

数论, 二次型的表示

 

教育背景

2016/09-2020/09 香港大学, 基础数学, 博士

2012/09-2015/07 华南师范大学, 计算数学, 硕士 

2008/09-2012/07 华南理工大学广州学院, 信息与计算科学, 学士

 

工作经历

2025/07-至今, 东莞理工学院, 副教授

2023/02-2025/06, 东莞理工学院, 讲师

2020/11-2022/12, 南方科技大学, 博士后

 

联系方式

办公室：8A404

电话: 13580450921

邮箱: zilonghe@dgut.edu.cn

     

学术兼职

期刊审稿/评论：Reseach in Number Theory; Acta Mathematica Sinica, English Series; Mathematische Nachrichten; Journal of Number Theory; Mathematical Reviews

 

学术论文

1. Z. He and Zichen Yang*, Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields, (2024), arXiv:2407.09076v2.

2. Z. He, Arithmetic Springer theorem and n-universality under field extensions, (2023), arXiv:2312.09560v4.

3. K. Bringmann, Z. He and B. Kane*, The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials, (2023), arXiv:2305.17909.

4. Z. He, On n-ADC integral quadratic lattices over totally real number fields, Doc. Math. 30 (2025), 981--1022.

5. Z. He and Y. Hu*, Pythagoras number of quartic orders containing $\sqrt{2}$, Chinese Annals of Mathematics. Series A 45 3 (2024), 235--242.

6. Z. He, On classic n-universal quadratic forms over dyadic local fields, Manuscripta Math. 174 (2024), 559--595.

7. Z. He* and Y. Hu, On n-universal quadratic forms over dyadic local fields, Sci. China Math. 67 (2024), 1481--1506.

8. Z. He, Y. Hu* and F. Xu, On indefinite k-universal integral quadratic forms over number fields, Math. Z. 304, 20 (2023).

9. Z. He and Y. Hu*, On k-universal quadratic lattices over unramified dyadic local fields, J. Pure Appl. Algebra 227, 7 (2023).

10. Z. He and B. Kane*, Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields, Res. number theory 7 10 (2021).  

11. Z. He and B. Kane*, Regular ternary polygonal forms, Ramanujan J. 55 (2021), 1039--1062.  

12. Z. He, Inequalities for inert primes and their applications, Int. J. Number Theory 16 (2020), 1819--1832.

13. P. Yuan, Z. He, and L. You*, New result and some open problems on the primitive degree of nonnegative tensors, Linear Algebra and its Appl. 480 (2015), 72--92.

14. Z. He, P. Yuan* and L. You, On the exponent set of nonnegative primitive tensors, Linear Algebra and its Appl. 465 (2015), 376--390.

15. P. Yuan*, Z. He, and L. You, A conjecture on the primitive degree of tensors, Linear Algebra and its Appl. 450 (2014), 175--185. 

 

1. Z. He, On n-ADC integral quadratic lattices over totally real number fields, (2023), arXiv:2306.00334.

2. K. Bringmann, Z. He and B. Kane*, The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials, (2023), arXiv:2305.17909.

3. Z. He, On classic n-universal quadratic forms over dyadic local fields, (2022), arXiv:2206.04885v2.

4. Z. He and Y. Hu*, Pythagoras number of quartic orders containing $\sqrt{2}$, (2022), arXiv:2204.10468v2.

5. Z. He* and Y. Hu, On n-universal quadratic forms over dyadic local fields, (2022), arXiv:2204.01997v2. (To appear in Science China Mathematics.)

6. Z. He, Y. Hu* and F. Xu, On indefinite k-universal integral quadratic forms over number fields, Math. Z. 304, 20 (2023).

7. Z. He and Y. Hu*, On k-universal quadratic lattices over unramified dyadic local fields, J. Pure Appl. Algebra 227, 7 (2023).

8. Z. He and B. Kane*, Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields, Res. number theory 7 10 (2021).  

9. Z. He and B. Kane*, Regular ternary polygonal forms, Ramanujan J. 55 (2021), 1039--1062.  

10. Z. He, Inequalities for inert primes and their applications, Int. J. Number Theory 16 (2020), 1819--1832.

11. P. Yuan, Z. He, and L. You*, New result and some open problems on the primitive degree of nonnegative tensors, Linear Algebra and its Appl. 480 (2015), 72--92.

12. Z. He, P. Yuan* and L. You, On the exponent set of nonnegative primitive tensors, Linear Algebra and its Appl. 465 (2015), 376--390.

13. P. Yuan*, Z. He, and L. You, A conjecture on the primitive degree of tensors, Linear Algebra and its Appl. 450 (2014), 175--185. 

 

 2024.1-2026.12 国家自然科学基金, 青年项目, 全实数域上二次型的高维表示, No. 12301013, 30万, 主持 

 2022.1-2025.12 国家自然科学基金, 面上项目, 泛表示的二次型和半整体域上的 Hilbert 第十七问题, No. 12171223, 51万, 参与