Acta Mathematica Hungarica
Volume/Issue:
Volume 137: Issue 1-2
Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors
Author:
Kostadinka LapkovaDepartment of Mathematics and its Applications, Central European University, Nádor u. 9, 1051 Budapest, Hungary

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Pages:
36–63
Online Publication Date:
27 Apr 2012
Publication Date:
01 Oct 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-012-0226-3
Keywords:
class number; quadratic field; circle method; 11R29; 11P55
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Abstract

We prove the existence of infinitely many imaginary quadratic fields whose discriminant has exactly three distinct prime factors and whose class group has an element of a fixed large order. The main tool we use is solving an additive problem via the circle method.

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  • [3] Byeon, D. Lee, Sh. 2008 Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors Proc. Japan Acad. Ser. A 84 8–10 .

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  • [6] Lapkova, K., Class number one problem for real quadratic fields of certain type, to appear in Acta Arith..

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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