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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A computational technique for evaluating $ L(1,\chi )$ and the class number of a real quadratic field


Authors: H. C. Williams and J. Broere
Journal: Math. Comp. 30 (1976), 887-893
MSC: Primary 12A70; Secondary 12-04
MathSciNet review: 0414522
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Abstract: A description is given of a method for estimating $ L(1,\chi )$ to sufficient accuracy to determine the class number of a real quadratic field. This algorithm was implemented on an IBM/370-158 computer and the class number, regulator, and value of $ L(1,\chi )$ were obtained for each real quadratic field $ Q(\sqrt D )\;(D = 2,3, \ldots ,149999)$. Several tables, summarizing various results of these computations, are also presented.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1976-0414522-5
PII: S 0025-5718(1976)0414522-5
Article copyright: © Copyright 1976 American Mathematical Society