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On the simultaneous 3-divisibility of class numbers of quadruples of real quadratic fields

Year: 2026

Type: article

Abstract: In this paper, we construct infinitely many quadruples of real quadratic fields whose class numbers are all divisible by $3$. To the best of our knowledge, this is the first result towards the divisibility of the class numbers of certain tuples of real quadratic fields. At the end, we give an application of this result to produce some elliptic curves having a $3$-torsion subgroup.

Source: Hardy-Ramanujan Journal

DOI: 10.46298/hrj.2026.17913

Authors: Kalyan Banerjee, Ankurjyoti Chutia, Azizul Hoque

Institutions: SRM University, Gauhati University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Arthritis National Research Foundation, Science and Engineering Research Board

OpenAlex ID: W7156064518

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