The distribution of the irreducibles in an algebraic number field
David M. Bradley, Ali E. \"Ozl\"uk, Rebecca A. Rozario, C. Snyder
TL;DR
This paper investigates how irreducible elements generate principal ideals in algebraic number fields, providing insights into their distribution and structural properties within these mathematical systems.
Contribution
It offers a novel analysis of the distribution patterns of irreducible elements and their generated principal ideals in algebraic number fields.
Findings
Characterization of the distribution of irreducible elements
Identification of patterns in principal ideal generation
Insights into the structure of algebraic number fields
Abstract
We study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
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Taxonomy
TopicsMeromorphic and Entire Functions · Algebraic Geometry and Number Theory · Historical Studies and Socio-cultural Analysis