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We also explain how to end up with a simpler and faster method for computing relative class numbers of imaginary abelian number fields.<\/p>","DOI":"10.1090\/s0025-5718-01-01367-9","type":"journal-article","created":{"date-parts":[[2002,9,20]],"date-time":"2002-09-20T14:12:48Z","timestamp":1032531168000},"page":"1735-1743","source":"Crossref","is-referenced-by-count":9,"title":["Computation of class numbers of quadratic number fields"],"prefix":"10.1090","volume":"71","author":[{"given":"St\u00e9phane","family":"Louboutin","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2001,11,21]]},"reference":[{"key":"1","series-title":"Graduate Texts in Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02945-9","volume-title":"A course in computational algebraic number theory","volume":"138","author":"Cohen, Henri","year":"1993","ISBN":"https:\/\/id.crossref.org\/isbn\/3540556400"},{"key":"2","series-title":"Graduate Texts in Mathematics","isbn-type":"print","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-5927-3","volume-title":"Multiplicative number theory","volume":"74","author":"Davenport, Harold","year":"1980","ISBN":"https:\/\/id.crossref.org\/isbn\/0387905332","edition":"2"},{"issue":"199","key":"3","doi-asserted-by":"publisher","first-page":"213","DOI":"10.2307\/2152992","article-title":"\ud835\udc3f-functions and class numbers of imaginary quadratic fields and of quadratic extensions of an imaginary quadratic field","volume":"59","author":"Louboutin, St\u00e9phane","year":"1992","journal-title":"Math. 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