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Published/Accepted Research Articles

  • On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid (with W. Kuo, and Y.-R. Liu). Accepted, Bordeaux Journal of Number Theory, 43 pages.
     

  • Distribution of ω(n) over h-free and h-full numbers (with W. Kuo, and Y.-R. Liu), Int. J of Num Th. (2025), World Scientific Publishing Company. https://dx.doi.org/10.1142/S1793042125500368. 
     

  • On the number of prime factors with a given multiplicity over h-free and h-full numbers (with W. Kuo, and Y.-R. Liu), J. Number Theory 267 (2025), 176–201, https://doi.org/10.1016/j.jnt.2024.08.007.
     

  • On the number of irreducible factors with a given multiplicity in function fields (with E. Elma, W. Kuo, and Y.-R. Liu). Finite Fields Appl. 92 (2023), Paper No. 102281, 22 pp. 11N60 (11N37 11N56 11T06), https://doi.org/10.1016/j.ffa.2023.102281
     

  • An explicit version of Chebotarev's density theorem, M.Sc Thesis (2020), University of Lethbridge, https://opus.uleth.ca/items/f2d22538-ac3c-4a7a-90bb-0549c82a943e.
     

  • Distribution of Arithmetic Functions (with H. Pahwa and X. Xu).  Notes from the Margin, Volume XVI (2024), Canadian Mathematical Society Student Committee, https://studc.math.ca/notes-from-the-margin/.

Submitted Research Articles

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  • A subset variant of ErdÅ‘s–Kac theorem over number fields with applications (with W. Kuo, and Y.-R. Liu), Submitted, 33 pages.
     

  • Generalizations of ErdÅ‘s–Kac theorem with applications (with W. Kuo, and Y.-R. Liu). Submitted, 38 pages.
     

  • On limiting distributions of arithmetic functions, Submitted, 18 pages.

Currently working on...

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  • An explicit version of Chebotarev's density theorem (with H. Kadiri, and N. Ng). In progress, 45 pages.
     

  • Explicit zero-free regions for Dedekind zeta functions (with S. Gaba, E. S. Lee, A. Savalia, and P. J. Wong). In Progress, 20 pages.

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