Publications and Preprints
| 1. |
[Link] |
Weighted Erdős-Kac theorems via computing moments, accepted by Acta Arith., 2023.
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| 2. |
[Link] |
On a super telescoping sum representing binomial coefficients, accepted by Rocky Mountain J. Math., 2023.
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| 3. |
[Link] |
Numerically explicit estimates for the distribution of rough numbers, accepted by J. Number Theory, 2024.
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| 4. |
[Link] |
An inequality related to the sieve of Eratosthenes (with Carl Pomerance), J. Number Theory 254 (2024), 169–183.
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| 5. |
[Link] |
An inequality for the distribution of numbers free of small prime factors, Integers 22 (2022), #A26, 12 pp.
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| 6. |
[Link] |
The second largest Balaban index (sum-Balaban index) of unicyclic graphs (with Wei Fang, Yubin Gao and Zhongshan Li), J. Math. Res. Appl. 37 (2017), 391–403.
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| 7. |
[Link] |
A finite difference scheme for semilinear space-fractional diffusion equations with time delay (with Wanrong Cao, Zhaopeng Hao and Zhizhong Sun), Appl. Math. Comput. 275 (2016), 238–254.
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Expository Notes
| 1. |
[Link] |
The Davenport-Halberstam theorem for Möbius function. |
| 2. |
[Link] |
Harmonic sums in arithmetic progressions. |
| 3. |
[Link] |
The Erdős-Kac theorem. |
| 4. |
[Link] |
The asymptotic for the second moment of ζ(s) on the critical line. |
| 5. |
[Link] |
On Selberg's proof of Dirichlet's theorem on arithmetic progressions. |
| 6. |
[Link] |
A short note on convex functions. |
| 7. |
[Link] |
The Copeland-Erdős theorem on normal numbers. |
| 8. |
[Link] |
On geometric proofs of theorems on sums of squares. |
| 9. |
[Link] |
Vinogradov's estimate for the least quadratic non-residues. |
| 10. |
[Link] |
Note on chapter 26 of Davenport's multiplicative number theory. |
| 11. |
[Link] |
The Erdős-Ginzburg-Ziv theorem. |
| 12. |
[Link] |
Summability and the closed graph theorem. |
| 13. |
[Link] |
A short proof of the triangle inequality for the pretentious metric. |
| 14. |
[Link] |
Defining exponential functions via limits. |
