Xu Zhang

collaborators

2 papers

math.NT2026

On the sum of least prime factors in short intervals

Xu Zhang

Let $p (n)$ denote the least prime factor of $n$ and $L_{C} (x) = C x^{1/2} (lo g x)^{2}$ with $C > 0$ . The sum of $p (n) / n$ over composite $n$ lying in the short interval $[x, x + L_{C} (x)]$ , a q…

math.NT2026

Many Representations as Sums of Three Prime Cubes

Yukai Wang, Xu Zhang

Let $F_{k} (n)$ be the number of unordered representations \[ n=p_1^k+p_2^k+\cdots +p_k^k \] by primes, with repetitions allowed. Erdős stated that $\limsup_{n\to\infty} F_3(n)=\infty…