TY - JOUR
T1 - Transcendental divisors and their critical functions
AU - Popescu, Angel
AU - Popescu, Nicolae
AU - Zaharescu, Alexandru
PY - 2003/4
Y1 - 2003/4
N2 - 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]).
AB - 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]).
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U2 - 10.1007/s00229-003-0364-6
DO - 10.1007/s00229-003-0364-6
M3 - Article
SN - 0025-2611
VL - 110
SP - 527
EP - 541
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 4
ER -