Likun Xie
E-mail: xie@mpim-bonn.mpg.de
I am a Postdoctoral Fellow at the Max Planck Institute for Mathematics in Bonn. I received my Ph.D. from the University of Illinois at Urbana–Champaign in May 2025. My research is in analytic number theory, specially its combinatorial and arithmetic-geometric aspects. Here is my CV.
Papers and Preprints
[8] Xie, L. (2025). On a Conjecture of Erdős over Function Fields. arXiv
[7] Xie, L. (2025). Almost Prime Orders of Elliptic Curves modulo Prime Powers. arXiv
[6] Nath, K., Xie, L. (2024). Almost primes and primes that are sums of two squares plus one. arXiv
[5] Berndt, B. C., Xie, L. (2024). Identities for the product of Two Dirichlet Series Satisfying Hecke’s Functional Equation. Journal of Mathematical Analysis and Applications. arXiv | Journal
[4] Xie, L. (2024). Primes p such that p − b Has a Large Power Factor and Few Other Prime Divisors. arXiv
[3] Xie, L. (2024). Negative Real Moments of Restricted Factors in Arithmetic Progression. The Ramanujan Journal. Journal
[2] Xie, L. (2023). On an Instance of the Small Cohen–Macaulay Conjecture. Journal of Pure and Applied Algebra. arXiv | Journal
[1] Berndt, B. C., Xie, L., & Zaharescu, A. (2022). Proofs of McIntosh’s Conjecture on Franel Integrals and Two Generalizations. Advances in Mathematics. arXiv | Journal
