An improvement to an algorithm of Belabas, Diaz y Diaz and Friedman
Number Theory
2016-10-19 v2
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.
Cite
@article{arxiv.1507.00602,
title = {An improvement to an algorithm of Belabas, Diaz y Diaz and Friedman},
author = {Loïc Grenié and Giuseppe Molteni},
journal= {arXiv preprint arXiv:1507.00602},
year = {2016}
}
Comments
minor improvements; this work has been merged in arXiv:1607.02430