Runbo Li

About Me

I’m a high school student at International Curriculum Center of The High School Affiliated to Renmin University of China.

Education

High School
International Curriculum Center, The High School Affiliated to Renmin University of China
Sept 2023-Present

The High School Affiliated to Renmin University of China
Sept 2020-Jun 2023

Publications

• 23. On Chen's theorem, Goldbach's conjecture and almost prime twins II. Preprint. arXiv
• 22. On the largest prime factor of quadratic polynomials. Preprint. arXiv
• 21. A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type II. Preprint. arXiv
• 20. Largest square divisors of shifted primes. Preprint. arXiv
• 19. On the generalized Dirichlet divisor problem. Preprint. Preprints
• 18. On almost primes in Piatetski–Shapiro sequences. Preprint. arXiv
• 17. Primes in arithmetic progressions to smooth moduli: A minorant version. Preprint. arXiv
• 16. On prime–producing sieves and distribution of $\alpha p - \beta$ mod $1$. Preprint. arXiv
• 15. A note on variants of Buchstab's identity. Preprint. arXiv
• 14. The number of primes in short intervals and numerical calculations for Harman's sieve. Preprint. arXiv
• 13. On the Piatetski–Shapiro Prime Number Theorem II. Preprint. Preprints
• 12. On the Piatetski–Shapiro Prime Number Theorem. Preprint. Preprints
• 11. On the largest prime factor of integers in short intervals. Preprint. Preprints
• 10. Primes in almost all short intervals. Preprint. arXiv
• 9. On the primitive divisors of quadratic polynomials. Preprint. arXiv
• 8. On Chen's theorem, Goldbach's conjecture and almost prime twins. Preprint. arXiv
• 7. On a conjecture involving twin practical numbers. Preprint. Preprints
• 6. A remark on large even integers of the form $p + P_3$. Preprint. arXiv
• 5. Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals. Preprint. arXiv
• 4. Remarks on additive representations of natural numbers. Preprint. arXiv
• 3. A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type. Hiroshima Mathematical Journal, to appear. arXiv
• 2. On the upper and lower bound orders of almost prime triples. Preprint. arXiv
• 1. On some problems of primes with the floor function. Preprint. arXiv