A class of permutation trinomials over finite fields
Let q > 2 be a prime power and , where . We prove that f is a permutation polynomial of if and only if one of the following occurs: (i) q is even and ; (ii) q ≡ 1 (mod 8) and t² = -2.
A generalization of a theorem of Carlitz.
A geometric characterization of the generators in a quadratic extension of a finite field
A note on Waring's problem in GF (p)
A notion of density and essential components in GF[p,x]
A polynomial representation for logarithms in GF(q)
A remark on primitive roots and ramitfication
Addendum to: v-adic Zeta Functions, L-series and Measures for Function Fields.
Algebraic continued fractions in and recurrent sequences in
Analytic Class Number Formulas in Function Fields.
Approximation exponents for algebraic functions in positive characteristic
In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type , where q is a power of p.
Arithmetic properties of polynomial specializations over finite fields
Arithmetical properties of function fields (II). The generalized Schur problem
Bases for integer-valued polynomials in a Galois field
Büchi's problem in any power for finite fields
Car-Pólya and Gel’fond’s theorems for
Class numbers of cyclotomic function fields
Classes modulo les puissances dans l'anneau des S-entiers d'un corps de fonctions
Common divisors of and over function fields.
Counting irreducible polynomials over finite fields
In this paper we generalize the method used to prove the Prime Number Theorem to deal with finite fields, and prove the following theorem: where denotes the number of monic irreducible polynomials in with norm .