An infinite family of pure quartic fields with class number ≡ 2\pmod4

2013/11/15 by Alejandro Aguilar-Zavoznik, Aguilar-Zavoznik, Alejandro, Mario Pineda-Ruelas +1
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1311.3707

openalex publication_date 2013/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let us consider the pure quartic fields of the form \K=\Q(√[4]p) where 0

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