Lower bounds for the principal genus of definite binary quadratic forms

2008/11/03 by Kimberly Hopkins, Hopkins, Kimberly, Jeffrey Stopple +1
Mathematics · #11M20 #11R29 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M20 #msc:11R29

paper · pdf · doi:10.48550/arxiv.0811.0358

8 pages, 1 figure

arxiv created 2009/10/25 · arxiv updated 2009/12/01

Abstract

We apply Tatuzawa's version of Siegel's theorem to derive two lower bounds on the size of the principal genus of positive definite binary quadratic forms.

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