Kui Liu

activity

20122023

most citedA variant of the prime number theorem

4 citations · 4 across the 10 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

On some sums involving the integral part function

Kui Liu, Jie Wu, Zhishan Yang

Denote by $τ$ k (n), $ω$ (n) and $μ$ 2 (n) the number of representations of n as product of k natural numbers, the number of distinct prime factors of n and the characteristic funct…

math.NT2021★ 4 cited

A variant of the prime number theorem

Kui Liu, Jie Wu, Zhishan Yang

Let $Λ (n)$ be the von Mangoldt function, and let $[t]$ be the integral part of real number $t$ . In this note, we prove that for any $ε > 0$ the asymptotic formula $$ \sum_{…