Shaoyun Yi (易少云)
Xiamen University
School of Mathematical Sciences
Xiamen, Fujian 361005, China
E-mail: yishaoyun926@xmu.edu.cn
Office: 616

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

Research Interests

Number Theory & Representation Theory

Publications and Preprints

  1. On Erdős covering systems in global function fields (with Huixi Li, Biao Wang and Chunlin Wang).
    Submitted, 2024.  [arXiv].

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

  3. On the Covering Systems of Polynomial Rings over Finite Fields (with Huixi Li, Biao Wang and Chunlin Wang).
    To appear in Proceedings of the American Mathematical Society, 2024.  [arXiv].

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

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

  6. 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].

  7. 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].

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

  9. 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].

  10. 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].

  11. 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].

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

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

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

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