The class number one problem for the real quadratic fields ℚ(√((an)²+4a))

2015/08/23 by András Bíró, Biró, András, Kostadinka Lapkova +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1508.05644

openalex publication_date 2015/08/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03

Abstract

We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√(d)) with square-free discriminant d=(an)²+4a for positive odd integers a and n.

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