{"docId":157,"paperId":157,"url":"https:\/\/hrj.episciences.org\/157","doi":"10.46298\/hrj.2007.157","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":41,"name":"Volume 30 - 2007"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01112054","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01112054v1","dateSubmitted":"2015-03-03 16:13:59","dateAccepted":"2015-06-12 16:05:53","datePublished":"2007-01-01 08:00:00","titles":{"en":"The number of imaginary quadratic fields with a given class number"},"authors":["Soundararajan, K"],"abstracts":{"en":"This paper formulates some conjectures for the number of imaginary quadratic fields of a given class number. It establishes an asymptotic formula for the number of such fields with class number below $H$, and also shows that many fields have class numbers lying outside a very thin set."},"keywords":[{"en":" value distribution"},{"en":"class numbers"},{"en":" $L$-functions"},"[MATH] Mathematics [math]"]}