Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields

DOI10.1006/jnth.1996.0035zbMath0853.11023OpenAlexW2089486239MaRDI QIDQ1912303

Michael E. Pohst, István Gaál, Attila Pethoe

Publication date: 4 June 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0035

zbMATH Keywords

ternary quadratic formsindex form equationsquartic number fieldquartic Thue equationsimultaneous representation of integers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Multiplicative and norm form equations (11D57)

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