An elementary proof for a theorem of Thomas and Vasquez

DOI10.1006/jnth.1995.1137zbMath0853.11087OpenAlexW1974811971MaRDI QIDQ1907842

Ryotaro Okazaki

Publication date: 9 January 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1995.1137

zbMATH Keywords

class number formulatotally real cubic fieldgroup of positive unitstheorem of Thomas and Vasqueztotally imaginary quadratic extension

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (6)

Trace and norm of indecomposable integers in cubic orders ⋮ Colmez cones for fundamental units of totally real cubic fields ⋮ Computation of relative class numbers of CM-fields ⋮ Computation of L(0, χ) and of relative class numbers of CM-fields ⋮ On lattice bases with special properties ⋮ Computation of relative class numbers of CM-fields by using Hecke $L$-functions

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