Imaginary Abelian number fields with class number one

DOI10.2748/tmj/1178241490zbMath0248.12007OpenAlexW2035371322MaRDI QIDQ2556444

Koji Uchida

Publication date: 1972

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241490

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (8)

On the class number one problem for non-normal quartic CM-fields ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ CM-fields with cyclic ideal class groups of 2-power orders ⋮ The CM class number one problem for curves of genus 2 ⋮ The determination of the imaginary abelian number fields with class number one ⋮ The Determination of the Imaginary Abelian Number Fields with Class Number One ⋮ Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3 ⋮ Imaginary multiquadratic number fields with class group of exponent $3$ and $5$

Cites Work

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• Class numbers of imaginary abelian number fields. I
• Imaginary quadratic fields with class number 2
• A transcendence theorem for class-number problems
• On the class-number of the maximal real subfield of a cyclotomic field.
• Real zeros of the Dedekind zeta function of an imaginary quadratic field

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