Shaoyun Yi (易少云)
Xiamen University
School of Mathematical Sciences
Xiamen, Fujian 361005, China
E-mail: yishaoyun926@xmu.edu.cn
Office: B515

Welcome! I am a tenure-track Assistant Professor at Xiamen University. Here is my CV.

Teaching          Seminar          Selected Talks          Miscellany

Research Interests

Number Theory & Representation Theory

Publications and Preprints

  1. The prime number theorem over integers of power-free polynomial values (with Biao Wang).
    Submitted, 2025.  [arXiv].

  2. Number of abelian groups and the prime number theorem (with Biao Wang).
    Submitted, 2025.

  3. Some ergodic theorems over squarefree numbers and squarefull numbers (with Huixi Li, Biao Wang and Chunlin Wang).
    To appear in Acta Arithmetica, 2025.  [arXiv].

  4. On Erdős covering systems in global function fields (with Huixi Li, Biao Wang and Chunlin Wang).
    Journal of Number Theory 266 (2025), 269-280.  [arXiv, DOI].

  5. Some remarks on strong multiplicity one for paramodular forms (with Xiyuan Wang, Zhining Wei and Pan Yan).
    Submitted, 2023.  [arXiv].

  6. On Covering Systems of Polynomial Rings over Finite Fields (with Huixi Li, Biao Wang and Chunlin Wang).
    Proceedings of the American Mathematical Society 152 (2024), no. 9, 3731-3742.  [arXiv, DOI].

  7. On the minimum modulus problem in number fields (with Huixi Li and Biao Wang).
    Submitted, 2023.  [arXiv].

  8. On distinguishing Siegel cusp forms of degree two (with Zhining Wei).
    Submitted, 2022.  [arXiv].

  9. Dimension formulas for Siegel modular forms of level 4 (with Manami Roy and Ralf Schmidt, and with an appendix by Cris Poor and David Yuen).
    Mathematika 69 (2023), no. 3, 795-840.  [arXiv, DOI].

  10. Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem (with Biao Wang, Zhining Wei and Pan Yan).
    Published online in Communications in Mathematics and Statistics, 2023.  [arXiv, DOI].

  11. Classical and adelic Eisenstein series (with Manami Roy and Ralf Schmidt).
    To appear in Rocky Mountain Journal of Mathematics, 2024.  [arXiv].

  12. Generalizations of Alladi's formula for arithmetical semigroups (with Lian Duan and Ning Ma).
    The Ramanujan Journal 58 (2022), no. 4, 1285-1319.  [arXiv, DOI].

  13. Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions (with Chiranjit Ray and Manami Roy).
    The Ramanujan Journal 58 (2022), no. 4, 1011-1023.  [SharedIt link, arXiv, DOI].

  14. Analogues of Alladi's formula over global function fields (with Lian Duan and Biao Wang).
    Finite Fields and Their Applications 74 (2021), 101874, 26 pp.  [arXiv, DOI].

  15. On counting cuspidal automorphic representations for GSp(4) (with Manami Roy and Ralf Schmidt).
    Forum Mathematicum 33 (2021), no. 3, 821-843.  [arXiv, DOI].

  16. Klingen $\mathfrak{p}^2$ vectors for GSp(4).
    The Ramanujan Journal 54 (2021), no. 3, 511-554.  [SharedIt link, DOI].

  17. Klingen vectors of level 2 for GSp(4).
    Ph.D. Thesis, University of Oklahoma, 2019.  [PDF].

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