Class numbers of orders in cubic fields

DOI10.1006/jnth.2001.2754zbMath1052.11078arXivmath/0005242OpenAlexW2950674583MaRDI QIDQ701104

Anton Deitmar

Publication date: 16 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/0005242

zbMATH Keywords

class numberscubic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Other analytic theory (11R47) Class groups and Picard groups of orders (11R65)

Related Items (9)

Tree-lattice zeta functions and class numbers ⋮ Class numbers of orders in complex quartic fields ⋮ Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Building lattices and zeta functions ⋮ Closed geodesics and bounded gaps ⋮ Weighted prime geodesic theorems ⋮ A prime geodesic theorem for \(\mathrm{SL}_4\) ⋮ Asymptotics of class numbers ⋮ A prime geodesic theorem for higher rank. II: Singular geodesics

Cites Work

• Characters, asymptotic and n-homology of Harish-Chandra modules
• Spectra of compact locally symmetric manifolds of negative curvature
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• The average measure of quadratic forms with given determinant and signature
• Geometric zeta functions of locally symmetric spaces
• Class numbers of indefinite binary quadratic forms
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