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

Kostadinka Lapkova

doi:10.1007/s10474-012-0226-3

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

Kostadinka Lapkova^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	36-63
Seitenumfang	28
Fachzeitschrift	Acta Mathematica Hungarica
Jahrgang	137
Ausgabenummer	1-2
DOIs	https://doi.org/10.1007/s10474-012-0226-3
Publikationsstatus	Veröffentlicht - 1 Sept. 2012
Extern publiziert	Ja

ASJC Scopus subject areas

Mathematik (insg.)

Zugriff auf Dokument

10.1007/s10474-012-0226-3

Andere Dateien und Links

http://www.scopus.com/inward/record.url?scp=84866104393&partnerID=8YFLogxK

Dieses zitieren

@article{54be8e3101cb4f9390cf80dc41fb4edd,

title = "Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors",

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.",

keywords = "11P55, 11R29, circle method, class number, quadratic field",

author = "Kostadinka Lapkova",

year = "2012",

month = sep,

day = "1",

doi = "10.1007/s10474-012-0226-3",

language = "English",

volume = "137",

pages = "36--63",

journal = "Acta Mathematica Hungarica",

issn = "0236-5294",

publisher = "Springer Netherlands",

number = "1-2",

}

TY - JOUR

T1 - Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors

AU - Lapkova, Kostadinka

PY - 2012/9/1

Y1 - 2012/9/1

N2 - 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.

AB - 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.

KW - 11P55

KW - 11R29

KW - circle method

KW - class number

KW - quadratic field

UR - http://www.scopus.com/inward/record.url?scp=84866104393&partnerID=8YFLogxK

U2 - 10.1007/s10474-012-0226-3

DO - 10.1007/s10474-012-0226-3

M3 - Article

AN - SCOPUS:84866104393

SN - 0236-5294

VL - 137

SP - 36

EP - 63

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 1-2

ER -

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

Abstract

ASJC Scopus subject areas

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren