Zikang Dong
Associate Professor · Analytic Number Theory · Soochow University
Zikang Dong
About Me
I am an Associate Professor in the School of Mathematical Sciences at Soochow University.
My research lies in analytic number theory, with particular interests in the extreme values and value distribution of the Riemann zeta function and Dirichlet L-functions, character sums, Dirichlet polynomials, and multiplicative functions.
I received my Ph.D. in Mathematics from Université Paris-Est Créteil in June 2022, where I was a member of the Laboratoire d’analyse et de mathématiques appliquées (LAMA) and worked under the supervision of Prof. Jie Wu.
My Ph.D. thesis is available here.
From September 2022 to August 2025, I was a Postdoctoral Researcher at Tongji University, working with Prof. Zhonghua Li.
Publications
Recent Work & Preprints
[24] Z. Dong, R. Wang, W. Wang, H. Zhang and S. Zhao, Large values of quadratic character sums, arXiv:2608.15773.
[23] Z. Dong, W. Wang, H. Zhang and S. Zhao, Extreme values of quadratic Dirichlet L-functions with prime-related moduli, arXiv:2607.25403.
[22] Z. Dong, W. Wang, H. Zhang and S. Zhao, Extreme values of quadratic Dirichlet L-functions, arXiv:2607.20408.
[21] Z. Dong and H. Li, Large values of logarithmic derivatives of quadratic Dirichlet L-functions, arXiv:2603.21256.
[20] Z. Dong and T. Komatsu, Finite q-multiple harmonic sums on 2-…-2,1-…-1 indices, arXiv:2601.21395.
[19] Z. Dong, R. Wang, W. Wang and H. Zhang, Large values of quadratic character sums revisited, arXiv:2512.24147.
[18] Z. Dong, Y. Song, R. Wang and S. Zhao, Note on large quadratic character sums, arXiv:2510.09005.
[17] Z. Dong, Y. Song, W. Wang, H. Zhang and S. Zhao, Large quadratic character sums with multiplicative coefficients, arXiv:2509.20192.
[16] Z. Dong, Y. Song, W. Wang, H. Zhang and S. Zhao, Large values of Dirichlet polynomials with multiplicative coefficients, arXiv:2509.09771.
[15] Z. Dong, Y. Song, W. Wang, H. Zhang and S. Zhao, Large character sums with multiplicative coefficients, arXiv:2509.09649.
[14] Z. Dong and Y. Zhang, Large quadratic character sums, arXiv:2509.07651.
[13] Z. Dong, Z. Li, Y. Song and S. Zhao, Quadratic character sums with multiplicative coefficients, arXiv:2508.16967.
[12] Z. Dong, Z. Li, Y. Song and S. Zhao, Large values of quadratic Dirichlet L-functions near the central point, arXiv:2508.12205.
[11] Z. Dong, Z. Li, Y. Song and S. Zhao, Large values of character sums with multiplicative coefficients, arXiv:2508.09750.
[10] Z. Dong, W. Wang and H. Zhang, Lower bounds for high moments of zeta sums, arXiv:2506.09334.
[6] Z. Dong, W. Wang and H. Zhang, Structure of large quadratic character sums, arXiv:2306.06355. Submitted.
[4] Z. Dong and B. Wei, On large values of (\zeta(\sigma+it)), arXiv:2110.04278. Submitted.
Published Papers
[9] Z. Dong, W. Wang and H. Zhang, Almost meromorphic modular forms and their associated L-functions, Advances in Mathematics 486 (2026), 1–49. DOI
[8] Z. Dong, Y. Song, W. Wang and H. Zhang, On derivatives of zeta and L-functions, The Ramanujan Journal 66(5) (2025), 1–16. Journal
[7] Z. Dong, W. Wang and H. Zhang, Large zeta sums, Periodica Mathematica Hungarica 91(2) (2025), 388–398. DOI
[5] Z. Dong, On the distribution of large values of (\zeta(\sigma+it)), Bulletin of the Malaysian Mathematical Sciences Society 48 (2025), 1–22. Journal
[3] Z. Dong, On the distribution of large values of (\zeta(1+it)), Periodica Mathematica Hungarica 87 (2023), 374–393. DOI
[2] Z. Dong and B. Wei, A note on large values of (\zeta^{(\ell)}(1+it)), Bulletin of the Australian Mathematical Society 108 (2023), 217–223. DOI
[1] Z. Dong, W. Wang and H. Zhang, Distribution of Dirichlet L-functions, Mathematika 69(3) (2023), 719–750. DOI