2 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
Divisor and Totient Functions Estimates
N. A. Carella
New unconditional estimates of the divisor and totient functions are contributed to the literature. These results are consistent with the Riemann hypothesis and seem to solve the N…
Note on Integer Factoring Methods IV
N. A. Carella
This note continues the theoretical development of deterministic integer factorization algorithms based on systems of polynomials equations. The main result establishes a new deter…
Note Integer Factoring Methods III
N. A. Carella
The best deterministic unconditionally proven integer factorization algorithms have exponential running time complexities of O(N^(1/4)) arithmetic operations, and conditional on th…
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.