An Implemented Transformational Scheme for Monic Polynomials with Integer Coefficients.

A discussion of the problem of the irreducibility of polynomials in the ring of integral polynomials establishes the framework of the research. A transformational scheme is postulated to facilitate investigation of the problem. The coherency of the scheme is detailed and the necessary computational techniques developed. To determine the efficacy of the transformational scheme, the specification and collection of appropriate sets of data are discussed. The transformational scheme is then applied to the data and the results are tabulated and discussed. The conclusion is drawn that a transformational scheme is a useful tool for the investigation of the irreducibility of this type of polynomial. Some hypotheses as to the refinement and extension of the technique are stated. Author