发表机构
SRM University AP（SRM大学AP分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过组合两个虚二次域族，利用Kuroda类数公式，构造了具有大类数的虚双二次域的无限族，旨在类群中获得高阶元素。
AI 中文摘要
我们构造了一个具有大类数的虚双二次域的无限族。该族的构造通过组合两个不同的虚二次域族来完成：第一个族是Banerjee和Hoque [1]引入的Q(sqrt(k^2-p^l))族，受整数参数l、k和p的特定约束；第二个族是基于Fibonacci数的参数化族Q(sqrt(-F_(50s+25)))，由Kishi [2]引入。使用的主要工具之一是Kuroda的虚双二次域类数公式。我们选择这两个族的唯一目的是在所得双二次域的类群中获得高阶元素。
英文摘要
We construct an infinite family of imaginary biquadratic fields with large class numbers. The construction of this family is done by composing two distinct families of imaginary quadratic fields: the first one is the family Q(sqrt(k^2-p^l)) introduced by Banerjee and Hoque [1], subject to specific constraints on the integer parameters, l, k and p, and the second one is the parametrized family of the form Q(sqrt(-F_(50s+25))) based on Fibonacci numbers, introduced by Kishi [2]. One of the main tools that is used is Kuroda's class number formula of imaginary biquadratic fields. We choose these two families with the sole aim to get high order elements in the class group of the resultant biquadratic fields.
