Transcendental divisors and their critical functions

Angel Popescu, Nicolae Popescu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we try to generalize the notion of a minimal polynomial of an algebraic number to a class of transcendental elements from ℚ̄̃, where ℚ̄̃ is the completion of the algebraic closure ℚ̄ of ℚ in ℂ, relative to the spectral norm on ℚ : ∥x∥ = max {|σ(x)|, σ ∈ Gal(ℚ̄/ℚ)} ([PPP], [PPZ1], [PPZ2], [PPZ3]).

Original languageEnglish (US)
Pages (from-to)527-541
Number of pages15
JournalManuscripta Mathematica
Volume110
Issue number4
DOIs
StatePublished - Apr 2003

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