Imaginary multiquadratic number fields of exponent 3 and 5

2020/04/07 by Jürgen Klüners, Klüners, Jürgen, Toru Komatsu +1
Mathematics · #11R20 #11R29 (Primary) 11R11 #11Y40 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2004.03308

openalex publication_date 2020/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields.

Citations

• Julia: A Fresh Approach to Numerical Computing

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