AbstractWe give a proof, following an argument of Lenstra, of the conjecture of Carlitz (1966) as generalized by Wan (1993). This says that there are no exceptional polynomials of degree n over Fq if (n, q − 1) > 1. Fried, Guralnick, and Saxl previously proved Carlitz′s conjecture: there are no exceptional polynomials of even degree over fields of odd order
Let q be an odd prime power and n an integer. Let ℓ∈Fqjavax.xml.bind.JAXBElement@70cefefb[x] be a q-...
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
The Carlitz rank of a permutation polynomial over a finite field Fq is a simple concept that was int...
AbstractWe give a proof, following an argument of Lenstra, of the conjecture of Carlitz (1966) as ge...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that for any d≥2 an...
The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p>(d2−3d+4)...
A recently discovered family of indecomposable polynomials of nonprime power degree over F (which in...
The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p>(d2−3d+4)...
The Carlitz-Wan conjecture, which is now a theorem, asserts that for any positive integer n, there i...
AbstractA recently discovered family of indecomposable polynomials of nonprime power degree over F2 ...
We consider exceptional APN functions on F2m, which by definition are functions that are APN on infi...
AbstractLetKbe a finite field of characteristicp. A polynomialfwith coefficients inKis said to beexc...
Abstract. A pair of polynomials f, g ∈ Fq[T] is called a Davenport pair (DP) if their value sets are...
We present a class of indecomposable polynomials of non primepower degree over the finite field of t...
Let q be an odd prime power and n an integer. Let ℓ∈Fqjavax.xml.bind.JAXBElement@70cefefb[x] be a q-...
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
The Carlitz rank of a permutation polynomial over a finite field Fq is a simple concept that was int...
AbstractWe give a proof, following an argument of Lenstra, of the conjecture of Carlitz (1966) as ge...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that for any d≥2 an...
The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p>(d2−3d+4)...
A recently discovered family of indecomposable polynomials of nonprime power degree over F (which in...
The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p>(d2−3d+4)...
The Carlitz-Wan conjecture, which is now a theorem, asserts that for any positive integer n, there i...
AbstractA recently discovered family of indecomposable polynomials of nonprime power degree over F2 ...
We consider exceptional APN functions on F2m, which by definition are functions that are APN on infi...
AbstractLetKbe a finite field of characteristicp. A polynomialfwith coefficients inKis said to beexc...
Abstract. A pair of polynomials f, g ∈ Fq[T] is called a Davenport pair (DP) if their value sets are...
We present a class of indecomposable polynomials of non primepower degree over the finite field of t...
Let q be an odd prime power and n an integer. Let ℓ∈Fqjavax.xml.bind.JAXBElement@70cefefb[x] be a q-...
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
The Carlitz rank of a permutation polynomial over a finite field Fq is a simple concept that was int...
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