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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Official URL: http://dx.doi.org/10.1007/s10474-012-0226-3
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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