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Mathematics > Number Theory

arXiv:1507.00602 (math)
[Submitted on 2 Jul 2015 (v1), last revised 18 Oct 2016 (this version, v2)]

Title:An improvement to an algorithm of Belabas, Diaz y Diaz and Friedman

Authors:Loïc Grenié, Giuseppe Molteni
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Abstract:In [BDyDF08] Belabas, Diaz y Diaz and Friedman show a way to determine, assuming the Generalized Riemann Hypothesis, a set of prime ideals that generate the class group of a number field. Their method is efficient because it produces a set of ideals that is smaller than earlier proved results. Here we show how to use their main result to algorithmically produce a bound that is lower than the one they prove.
Comments: minor improvements; this work has been merged in arXiv:1607.02430
Subjects: Number Theory (math.NT)
MSC classes: 11R04 (Primary), 11R29 (Secondary)
Cite as: arXiv:1507.00602 [math.NT]
  (or arXiv:1507.00602v2 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.1507.00602

Submission history

From: Giuseppe Molteni [view email]
[v1] Thu, 2 Jul 2015 14:29:14 UTC (105 KB)
[v2] Tue, 18 Oct 2016 12:35:44 UTC (104 KB)
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