J ‐fields generated by roots of cyclotomic integers

DOI10.1112/S0025579300009487zbMath0405.12006OpenAlexW2093252527MaRDI QIDQ4190713

Veikko Ennola

Publication date: 1979

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300009487

zbMATH Keywords

Cyclotomic IntegerFields Generated By Cyclotomic IntegersQuadratic Extension of a Totally Real FieldRamanujan - Nagell Equation

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Totally real fields (11R80)

Cites Work

• The first 50 million prime numbers
• Sums of roots of unity in cyclotomic fields
• On the Diophantine equation \(Cx^ 2 +D = y^ n\)
• Cyclic difference sets
• Nonnegative sums of roots of unity
• Über eine Diophantische Gleichung von Ramanujan-Nagell und ihre Verallgemeinerung

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