Xiaolong Wu

activity

20182021

most citedProperties of counterexample to Robin hypothesis

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.GM2021

On zeros of the Riemann zeta function

Xiaolong Wu

This paper shows that, in the critical strip, the Riemann zeta function $ζ (s)$ have the same set of zeros as $F (s) := \int_{0}^{\infty} t^{s - 1} (e^{t} + 1)^{- 1} d t$ , and then discusses the beh…

math.NT2020

On the Least counterexample to Robin hypothesis

Xiaolong Wu

Let $G (n) = σ (n) / (n lo g lo g n)$ . Robin made hypothesis that $G (n) < e^{γ}$ for all integer $n > 5040$ . If Robin hypothesis fails, there will be a least counterexample. This article coll…

math.NT2019

A New Type of Abundant Numbers

Xiaolong Wu

This article defines a new type of abundant numbers, called largest rho-value (abbreviate LR) numbers, and then shows that Robin hypothesis is true if and only if all LR numbers $>…

math.NT2019

Subsets of colossally abundant numbers

Xiaolong Wu

Let $G (n) = σ (n) / (n lo g lo g n)$ . Robin made hypothesis that $G (n) < e^{γ}$ for all integer $n > 5040$ . This article divides all colossally abundant numbers in to three disjoint subsets…

math.NT2019★ 1 cited

Properties of counterexample to Robin hypothesis

Xiaolong Wu

Let $G (n) = σ (n) / (n lo g lo g n)$ . Robin made hypothesis that $G (n) < e^{γ}$ for all integer $n > 5040$ . If there exists counterexample to Robin hypothesis, then there must exist finite n…

math.NT2018

A better method than t-free for Robin's hypothesis

Xiaolong Wu

For a positive integer t>1, an integer N is called t-free if the exponent of any prime factor of N is less than t. Some works shown if N is t-free, then N satisfies Robin's inequal…