W. Cao

activity

20142022

most citedAn Algebraic Study of Averaging Operators

16 citations · 22 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2022

Divisibility on point counting over finite Witt rings

Wei Cao, Daqing Wan

Let $F_{q}$ denote the finite field of $q$ elements with characteristic $p$ . Let $Z_{q}$ denote the unramified extension of the $p$ -adic integers $Z_{p}$ with…

math.NT2018★ 2 cited

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients $\pm 1$

Shaofang Hong, Wei Cao

Borwein and Choi conjectured that a polynomial $P (x)$ with coefficients $\pm 1$ of degree $N - 1$ is cyclotomic iff $$P(x)=\pm Φ_{p_1}(\pm x)Φ_{p_2}(\pm x^{p_1})\cdots Φ_{p_r}(\pm x^{…

math.NT2018★ 4 cited

Normal bases and irreducible polynomials

Hua Huang, Shanmeng Han, Wei Cao

Let $F_{q}$ denote the finite field of $q$ elements and $F_{q^{n}}$ the degree $n$ extension of $F_{q}$ . A normal basis of $F_{q^{n}}$ over $\mathbb{F}…

math.RA2014★ 16 cited

An Algebraic Study of Averaging Operators

Weili Cao

A module endomorphism $f$ on an algebra $A$ is called an averaging operator if it satisfies $f (x f (y)) = f (x) f (y)$ for any $x, y \in A$ . An algebra $A$ with an averaging operator $f$ …

Divisibility on point counting over finite Witt rings

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients ±1

Normal bases and irreducible polynomials

An Algebraic Study of Averaging Operators

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients $\pm 1$