2 citations · 3 across the 5 of their papers we have counts for
5 papers
On the Coefficients of Primitive Normal polynomials
N. A. Carella
The previous paper [4] proved the existence of primitive polynomials and primitive normal polynomials of degree n with k prescribed coefficients in the finite field GF(q) for all s…
Probable Counterexamples of the ABC Conjecture
N. A. Carella
This paper describes a method used to construct infinitely many probable counterexamples of the abc conjecture over the rational integers.
On Evaluation of Nonlinear Exponential Sums
N. A. Carella
This paper provides a technique for evaluating some nonlinear Gaussian sums in closed forms. The evaluation is obtained from the known values of simpler exponential sums.
Complexity of Computing Quadratic Nonresidues
N. A. Carella
This note provides new methods for constructing quadratic nonresidues in finite fields of characteristic p. It will be shown that there is an effective deterministic polynomial tim…
On Estimates of Exponential Sums
N. A. Carella
This paper introduces a general technique for estimating the absolute value of pure Gaussian sums of order k over a prime p for a class of composite order k. The new estimate impro…