Fundamental units for a family of totally real cubic orders and the diophantine equation u(u + a)(u + 2a) = v(v + 1)

DOI10.1142/S1793042117500993zbMath1375.11070OpenAlexW2585523889MaRDI QIDQ4975308

No author found.

Publication date: 4 August 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117500993

zbMATH Keywords

unit groupregulator bound

Mathematics Subject Classification ID

Units and factorization (11R27) Thue-Mahler equations (11D59) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25)

Related Items

Non-Galois cubic number fields with exceptional units. II

Cites Work

• On the Diophantine equation \(v(v + 1) = u(u + a)(u + 2a)\)
• On the integer solutions of \(y(y+1) = x(x+1) (x+2)\)
• Non-Galois cubic number fields with exceptional units
• Simple families of Thue inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item