31 citations · 42 across the 6 of their papers we have counts for
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On certain values of Kloosterman sums
Marko Moisio
Let be a Kloosterman sum over the finite field $\F_{q^n}$ of characteristic . In this note so called subfield conjecture is proved in case : if belongs…
On Katz's bound for number of elements with given trace and norm
Marko Moisio, Daqing Wan
In this note an improvement of the Katz's bound on the number of elements in a finite field with given trace and norm is given. The improvement is obtained by reducing the problem…
Irreducible polynomials with prescribed trace and restricted norm
K. Kononen, M. Moisio, M. Rinta-aho +1
Let GF(q), q=p^r, be a finite field with a primitive element g. In this paper we use exponential sums and Jacobi sums to compute the number of the irreducible polynomials of degree…
Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
Marko Moisio
Let $\F_q$ () be a finite field. In this paper the number of irreducible polynomials of degree in $\F_q[x]$ with prescribed trace and norm coefficients is calculated in…
Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed
M. Moisio, K. Ranto
Let be a finite field of characteristic . We give the number of irreducible polynomials $x^m+a_{m-1}x^{m-1}+...+a_0\in\F_q[x]$ with and prescribed…