Runbo Li

activity

20232026

most citedPrimes in almost all short intervals

2 citations · 4 across the 17 of their papers we have counts for

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math.NT2026

Large value estimates for Dirichlet polynomials and trilinear sums over short intervals

Runbo Li

Recently, Matomäki, Pandey, Pliego, Teräväinen and Wang improved the Baker--Harman--Pintz estimate of trilinear sums over short intervals of length $x^{θ}$ , which naturally reduces t…

math.NT2026

Primes in arithmetic progressions to large moduli and refinements of Harman's sieve

Runbo Li

We study the average distribution of primes of size $x$ in arithmetic progressions to moduli larger than $x^{\frac{1}{2}}$ . Using arithmetic information from the works of many auth…

math.NT2026

On the largest prime factor of integers in short intervals III

Runbo Li

Using Watt's mean value theorem and a delicate sieve decomposition, the author shows that the interval $[x, x + x^{\frac{1}{2} + ε}]$ contains an integer with a prime factor…