On p -rationality of cubic and quartic number fields
Abstract
In this paper, a new criterion is given to determine the p-rationality of some complex cubic number fields in terms of p-divisibility of certain terms of a third-order recurrence sequence, several illustrated examples are constructed, the relations between generalized [Formula: see text]-conjecture and the p-rationality are discussed, from which some explicit fields satisfying Greenberg’s Generalized Conjecture (GGC) are obtained.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Vietnamese History and Culture Studies
Meromorphic and Entire Functions
Publication details
- Journal / source
- International Journal of Number Theory
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 22
- Issue
- 05
- Pages
- 1099–1110
- Publication date
- 16 January 2026
- Language
- EN