P. Yuan

activity

20092025

F_{2^{m}}

: a corrected version

64 citations · 114 across the 30 of their papers we have counts for

collaborators

31 papers

math.NT2025

Fermat's and Catalan's equations over $M_{2} (Z)$

Hongjian Li, Pingzhi Yuan

Let $A = (a c b d) \in M_{2} (Z)$ be a given matrix such that $b c \neq = 0$ and let $C (A) = {B \in M_{2} (Z) : A B = B A}$ . In this pap…

math.NT2022

The matrix equation $a X^{m} + b Y^{n} = c I$ over $M_{2} (Z)$

Hongjian Li, Pingzhi Yuan

Let $N$ be the set of all positive integers and let $a, b, c$ be nonzero integers such that $g cd (a, b, c) = 1$ . In this paper, we prove the following thr…

math.NT2022

Positive rational number of the form $φ (k m^{a}) / φ (l n^{b})$

Hongjian Li, Pingzhi Yuan, Hairong Bai

Let $k, l, a$ and $b$ be positive integers with $max {a, b} \geq 2$ . In this paper, we show that every positive rational number can be written as the form $φ (k m^{a}) / φ (l n^{b})$ ,…

math.NT2022★ 1 cited

Local Method for Compositional Inverses of Permutational Polynomials

Pingzhi Yuan

In this paper, we provide a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.

math.NT2022

On The St $o ¨$ rmer Theorem And Its Applications

Pingzhi Yuan, Jiagui Luo, Alain Togbé

In the present paper we introduce old and new results related to Störmer theorem about Pell equations. Moreover we give four types of applications of these results.

math.CO2022★ 64 cited

Permutation trinomials over $F_{2^{m}}$ : a corrected version

Danyao Wu, Pingzhi Yuan, Cunsheng Ding +1

Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation t…

Fermat's and Catalan's equations over M2​(Z)

The matrix equation aXm+bYn=cI over M2​(Z)

Positive rational number of the form φ(kma)/φ(lnb)

Local Method for Compositional Inverses of Permutational Polynomials

On The Sto¨rmer Theorem And Its Applications

Permutation trinomials over F2m​: a corrected version

Fermat's and Catalan's equations over $M_{2} (Z)$

The matrix equation $a X^{m} + b Y^{n} = c I$ over $M_{2} (Z)$

Positive rational number of the form $φ (k m^{a}) / φ (l n^{b})$

On The St $o ¨$ rmer Theorem And Its Applications

Permutation trinomials over $F_{2^{m}}$ : a corrected version