Computing dimensions of spaces of Arakelov divisors of number fields

DOI10.1142/S1793042117500270zbMath1409.11142arXiv1506.04540OpenAlexW2304447024MaRDI QIDQ2965777

Ha Thanh Nguyen Tran

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1506.04540

zbMATH Keywords

size functionPoisson summation formulajump algorithmeffectivity divisorArakelov

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Lattices and convex bodies (number-theoretic aspects) (11H06) Algebraic number theory computations (11Y40) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (1)

The size function for imaginary cyclic sextic fields

Cites Work

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• A generalization of reduced Arakelov divisors of a number field
• New upper bounds on sphere packings. I
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• Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
• Computing Arakelov class groups
• 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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