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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Showing 2023 · math.NTShow all

3 papers · 2 filters

math.NT2023

Remarks on additive representations of natural numbers

Runbo Li

For two relatively prime square-free positive integers $a$ and $b$ , we study integers of the form $a p + b P_{2}$ and give a new lower bound for the number of such representations, w…

math.NT2023

On some problems of primes with the floor function

Runbo Li

Let $[x]$ be the largest integer not exceeding $x$ . For $0 < θ \leq 1$ , let $π_{θ} (x)$ denote the number of integers $n$ with $1 \leq n \leq x^{θ}$ such that $\left[\frac{x}{n}…

math.NT2023★ 2 cited

The number of primes in short intervals and numerical calculations for Harman's sieve

Runbo Li

The author gives nontrivial upper and lower bounds for the number of primes in the interval $[x - x^{θ}, x]$ for some $0.52 ⩽ θ ⩽ 0.525$ , showing that the interval $[x…