Greenberg's conjecture for real quadratic number fields

Authors

DOI:

https://doi.org/10.56994/JXM.001.002.001

Keywords:

Iwasawa theory, Greenberg's conjecture, Real number fields, Algebraic number theory

Abstract

We compute the 3-class groups A_n of the fields F_n in the cyclotomic Z_3-extensions of the real quadratic fields of discriminant f < 100,000. In all cases the orders of A_n remain bounded as n goes to infinity. This is in agreement with Greenberg's conjecture.

Cover page of JXM volume 1 issue 2

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Published

08/30/2025

How to Cite

Mercuri, P., Paoluzi, M., & Schoof, R. (2025). Greenberg’s conjecture for real quadratic number fields. Journal of Experimental Mathematics, 1(2), 207–217. https://doi.org/10.56994/JXM.001.002.001

Issue

Vol. 1 No. 2 (2025): Volume 1, Issue 2

Section

Articles

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Copyright (c) 2025 Journal of Experimental Mathematics

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