Work

Two Diophantine approaches to the irreducibility of certain trinomials

Year: 2007

Type: article

Abstract: In the previous paper [FLSU], we determined the Galois groups associated with some poly-nomials constructed through the use of circulant matrices. In the process of determining the Galois groups, the irreducibility of the trinomial x2p + xp +mp was established, where p represents an odd prime and m an integer ≥ 2. The approach there was based on a method

Source: Acta Arithmetica

DOI: 10.4064/aa128-2-5

Authors: M. Filaseta, F. Luca, P. Stănică, R. G. Underwood

Institutions: University of South Carolina, Universidad Nacional Autónoma de México, Naval Postgraduate School, Auburn University, Auburn University at Montgomery

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2000572430

FWCI: 0.457

Cites: 9

Cited by: 5

Related to: 9