Yuyang Zhu

collaborators

5 papers

math.GM2018

Several Conclusions on another site setting problem

Yuyang Zhu

Let $S = {A_{1}, A_{2}, \dots, A_{n}}$ be a finite point set in m-dimensional Euclidean space $E^{m}$ , and $∥ A_{i} A_{j} ∥$ be the distance between $A_{i}$ and $A_j…

math.GM2018

A Fast Algorithm to Calculate Power Sum of Natural Numbers

Yuyang Zhu

Permutations can be represented as linear combinations of natural numbers with different powers. In this paper, its coefficient matrix and inverse matrix is derived, and the result…

math.GM2018

A few results on the infimum of regular polygons equal-size split line

Yuyang Zhu

If an n-side unit regular polygon is divided into m equal sized parts, then what is the minimum length of the split line $l_{m, n}$ ? This problem has its practical application in…

math.GM2016

The probability of Riemann's hypothesis being true is equal to 1

Yuyang Zhu

Let $P$ be the set of all prime numbers, $q_{1}, q_{2}, \dots, q_{m} \in P$ , $P_{k}$ be the k-th $(k = 1, 2, \dots m)$ element of $P$ in ascending order of size, ${α_1},{α_2}, \cdots…

math.NT2016

An asymptotic Robin inequality

Patrick Solé, Yuyang Zhu

The conjectured Robin inequality for an integer $n > 7!$ is $σ (n) < e^{γ} n lo g lo g n,$ where $γ$ denotes Euler constant, and $σ (n) = \sum_{d ∣ n} d$ . Robin proved that this conjecture i…