The size function for cyclic cubic fields

DOI10.1142/S1793042118500276zbMath1398.11135arXiv1609.02858OpenAlexW2963867932MaRDI QIDQ3133124

Peng Tian, Ha Thanh Nguyen Tran

Publication date: 13 February 2018

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

Full work available at URL: https://arxiv.org/abs/1609.02858

zbMATH Keywords

Arakelov divisorsize functionhexagonal latticecyclic cubic fieldArakelov class-group

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16)

Related Items (1)

The size function for imaginary cyclic sextic fields

Cites Work

• Unnamed Item
• The size function \(h^0\) for quadratic number fields
• An arithmetic analogue of Clifford's theorem
• The size function for quadratic extensions of complex quadratic fields
• Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
• Computing Arakelov class groups
• The Simplest Cubic Fields
• The size function h^°for a pure cubic field
• Effectivity of Arakelov divisors and the theta divisor of a number field

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