Norms from certain extensions of
Note on a Cubic Character Sum.
Note on class groups of algebraic function fields.
Note on the quadratic Gauss sums.
Odd perfect polynomials over
A perfect polynomial over is a polynomial that equals the sum of all its divisors. If then we say that is odd. In this paper we show the non-existence of odd perfect polynomials with either three prime divisors or with at most nine prime divisors provided that all exponents are equal to
On a binary recurrent sequence of polynomials
In this paper, we study the properties of the sequence of polynomials given by , for , where is non-constant and the characteristic of is . This complements some results from R. Euler, L.H. Gallardo: On explicit formulae and linear recurrent sequences, Acta Math. Univ. Comenianae, 80 (2011) 213-219.
On a certain class of exponential sums.
On a class of constant weight codes.
On a class of equations with special degrees over finite fields
On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.
On a problem of Sidon for polynomials over finite fields
Let ω be a sequence of positive integers. Given a positive integer n, we define rₙ(ω) = |(a,b) ∈ ℕ × ℕ : a,b ∈ ω, a+b = n, 0 < a < b|. S. Sidon conjectured that there exists a sequence ω such that rₙ(ω) > 0 for all n sufficiently large and, for all ϵ > 0, . P. Erdős proved this conjecture by showing the existence of a sequence ω of positive integers such that log n ≪ rₙ(ω) ≪ log n. In this paper, we prove an analogue of this conjecture in , where is a finite field of q elements....
On a theorem of MacCluer
On A Theorem Of Möbius: Elementary Variations On The Polynomial Tonality.
On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan
We deal with the construction of sequences of irreducible polynomials with coefficients in finite fields of even characteristic. We rely upon a transformation used by Kyuregyan in 2002, which generalizes the -transform employed previously by Varshamov and Garakov (1969) as well as by Meyn (1990) for the synthesis of irreducible polynomials. While in the iterative procedure described by Kyuregyan the coefficients of the initial polynomial of the sequence have to satisfy certain hypotheses, in the...
On B. Segre's construction of an ovaloid
On Bombieri's estimate for exponential sums
On canonical subfield preserving polynomials
Explicit monoid structure is provided for the class of canonical subfield preserving polynomials over finite fields. Some classical results and asymptotic estimates will follow as corollaries.
On Certain Approaches for Analysis and Design of Cryptographic Techniques
On coset coverings of solutions of homogeneous cubic equations over finite fields.
On explicit formulas for the number of solutions to the equation in a finite field.