Runbo Li

collaborators

4 papers

math.GM2024

A remark on large even integers of the form $p + P_{3}$

Runbo Li

Let $N$ denotes a sufficiently large even integer, $p$ denotes a prime and $P_{r}$ denotes an integer with at most $r$ prime factors. In this paper, we study the solutions of the e…

math.NT2024

Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals

Runbo Li

We provide a new hybrid estimation of single exponential sums, combining Van der Corput, Huxley and Bourgain's result. We also focus on primes in short intervals $(x - x^{α}, x]$ under…

math.NT2024

On the upper and lower bound orders of almost prime triples

Runbo Li

A Hardy-Littlewood triple is a 3-tuple of integers with the form $(n, n + 2, n + 6)$ . In this paper, we study Hardy-Littlewood triples of the form $(p, P_{a}, P_{b})$ and improve the u…

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}…

A remark on large even integers of the form p+P3​

Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals

On the upper and lower bound orders of almost prime triples

On some problems of primes with the floor function

A remark on large even integers of the form $p + P_{3}$