On the adèle rings of radical extensions of the rationals

DOI10.1007/BF01194002zbMath0568.12009MaRDI QIDQ1060249

William Yslas Vélez, Eliot T. Jacobson

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

zeta-functionssplitting of primesadèle ringsarithmetically equivalent fieldsradical extensions of rationals

Mathematics Subject Classification ID

Adèle rings and groups (11R56) Other abelian and metabelian extensions (11R20)

Related Items (2)

Fields arithmetically equivalent to a radical extension of the rationals ⋮ Several results on radical extensions

Cites Work

• Unnamed Item
• The lattice of subfields of a radical extension
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Kronecker classes of algebraic number fields
• On the adele rings and zeta-functions of algebraic number fields
• On the rings of valuation vectors
• On linear dependence of roots
• On the adele rings of algebraic number fields
• On the theory of nth power residues and a conjecture of Kronecker

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