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Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors

Lapkova, Kostadinka (2012) Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors. Acta Mathematica Hungarica, 137 (1-2). pp. 36-63. ISSN 0236-5294 (print), 1588-2632 (online)

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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. © 2012 Akadémiai Kiadó, Budapest, Hungary.

Item Type: Article
Uncontrolled Keywords: quadratic field; Class number; circle method; 11R29; 11P55
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 29 Mar 2016 11:23
Last Modified: 29 Mar 2016 11:23
URI: http://real.mtak.hu/id/eprint/34518

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