Xiang-dong Hou

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20012008

most citedExplicit Evaluation of Certain Exponential Sums of Quadratic Functions over

F_{p^{n}}

p

Odd

11 citations · 12 across the 4 of their papers we have counts for

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math.NT2008★ 1 cited

Number of Irreducible Polynomials and Pairs of Relatively Prime Polynomials in Several Variables over Finite Fields

Xiang-dong Hou, Gary L. Mullen

We discuss several enumerative results for irreducible polynomials of a given degree and pairs of relatively prime polynomials of given degrees in several variables over finite fie…

math.NT2007★ 11 cited

Explicit Evaluation of Certain Exponential Sums of Quadratic Functions over $F_{p^{n}}$ , $p$ Odd

Sandra Draper, Xiang-dong Hou

Let $p$ be an odd prime and let $f (x) = \sum_{i = 1}^{k} a_{i} x^{p^{α_{i}} + 1} \in F_{p^{n}} [x]$ , where $0 \leq α_{1} < ... < α_{k}$ . We consider the exponential sum $S(f,n)=\sum_{x\in\Bbb F_{p^n}}e_n(…

math.NT2001

Enumeration of Isomorphism Classes of Extensions of p-adic Fields

Xiang-dong Hou, Kevin Keating

Let $Ω$ be an algebraic closure of $Q_{p}$ and let $F$ be a finite extension of $Q_{p}$ contained in $Ω$ . Given positive integers $f$ and $e$ , the number of extensi…

Number of Irreducible Polynomials and Pairs of Relatively Prime Polynomials in Several Variables over Finite Fields

Explicit Evaluation of Certain Exponential Sums of Quadratic Functions over Fpn​, p Odd

Enumeration of Isomorphism Classes of Extensions of p-adic Fields

Explicit Evaluation of Certain Exponential Sums of Quadratic Functions over $F_{p^{n}}$ , $p$ Odd