Voronoi's algorithm in purely cubic congruence function fields of unit rank 1

DOI10.1090/S0025-5718-99-01136-9zbMath1042.11068OpenAlexW2047399281MaRDI QIDQ4955873

Andreas Stein, Renate Scheidler

Publication date: 22 May 2000

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01136-9

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Cubic and quartic extensions (11R16) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (5)

Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field ⋮ Explicit construction of integral bases of radical function fields ⋮ Monogenic pure cubics ⋮ Arithmetic on superelliptic curves ⋮ Ideal arithmetic and infrastructure in purely cubic function fields

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• On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One
• Calculation of the Regulator of a Pure Cubic Field
• Some Methods for Evaluating the Regulator of a Real Quadratic Function Field
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm

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