Algebraic numbers of small Weil's height in CM-fields: on a theorem of Schinzel

DOI10.1016/j.jnt.2006.04.005zbMath1111.11032OpenAlexW2100804537MaRDI QIDQ863970

Filippo Nuccio, Francesco Amoroso

Publication date: 12 February 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.04.005

zbMATH Keywords

CM-fieldsnumbers of small height

Mathematics Subject Classification ID

Other number fields (11R21) Heights (11G50)

Related Items (7)

Heights and totally real numbers ⋮ Small points on a multiplicative group and class number problem ⋮ On the Northcott property for special values of \(L\)-functions ⋮ A note on Galois groups and local degrees ⋮ A note on extensions of \(\mathbb{Q}^{tr}\) ⋮ On fields with Property (B) ⋮ Julia Robinson numbers

Cites Work

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• A lower bound for the height in abelian extensions
• Decomposition of primes in non-maximal orders
• Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
• On the product of the conjugates outside the unit circle of an algebraic number
• Resultants of Cyclotomic Polynomials

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