Powers of roots in linear spaces

DOI10.1016/j.jnt.2009.02.001zbMath1179.11035OpenAlexW2039793565MaRDI QIDQ1017393

Andrzej Schinzel

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.02.001

zbMATH Keywords

powers of radicalsradicals in a vector space

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

The Diophantine equation 𝛼₁^{𝑥₁}⋯𝛼_{𝑛}^{𝑥_{𝑛}}=𝑓(𝑥₁,…,𝑥_{𝑛}). II

Cites Work

• Approximate formulas for some functions of prime numbers
• The Diophantine equation 𝛼₁^{𝑥₁}⋯𝛼_{𝑛}^{𝑥_{𝑛}}=𝑓(𝑥₁,…,𝑥_{𝑛}). II
• Addendum and corrigendum to the paper "Abelian binomials, power residues and exponential congruences", Acta Arith. 32(1977), pp. 245-274
• On linear relations between roots of unity
• On the reducibility of polynomials and in particular of trinomials
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