A Congruence Property of Solvable Polynomials
Nicholas Phat Nguyen
TL;DR
This paper investigates a specific congruence property of solvable polynomials over the rational numbers, linking it to the irreducibility of cyclotomic polynomials over certain number fields.
Contribution
It introduces a new congruence property for solvable polynomials over Q, grounded in cyclotomic polynomial irreducibility conditions.
Findings
Establishes a connection between solvable polynomials and cyclotomic polynomial irreducibility.
Provides conditions under which the congruence property holds.
Enhances understanding of polynomial solvability over number fields.
Abstract
We describe a congruence property of solvable polynomials over Q, based on the irreducibility of cyclotomic polynomials over number fields that meet certain conditions.
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Taxonomy
TopicsCoding theory and cryptography · Analytic Number Theory Research · Algebraic Geometry and Number Theory