Li-Ping Wang

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math.NT2017

Further results on complete permutation monomials over finite fields

Xiutao Feng, Dongdai Lin, Liping Wang +1

In this paper, we construct some new classes of complete permutation monomials with exponent $d = \frac{q ^{n} - 1}{q - 1}$ using AGW criterion (a special case). This proves two recent conj…

math.NT2017

Subset Sums of Quadratic Residues over Finite Fields

Weiqiong Wang, Liping Wang, Haiyan Zhou

In this paper, we derive an explicit combinatorial formula for the number of $k$ -subset sums of quadratic residues over finite fields.

math.NT2017

Counting Polynomials with Distinct Zeros in Finite Fields

Haiyan Zhou, Li-Ping Wang, Weiqiong Wang

Let $F_{q}$ be a finite field with $q = p^{e}$ elements, where $p$ is a prime and $e \geq 1$ is an integer. Let $ℓ < n$ be two positive integers. Fix a monic polynomial $u(x)=x^…

math.NT2010

On explicit factors of Cyclotomic polynomials over finite fields

Liping Wang, Qiang Wang

We study the explicit factorization of $2^{n} r$ -th cyclotomic polynomials over finite field $F_{q}$ where $q, r$ are odd with $(r, q) = 1$ . We show that all irreducible factor…