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A description is given of a method for estimating L(1, X) 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, X) were obtained for each real quadratic field Q(vIDU) (D 2, 3, . . ., 149999). Several tables, summarizing various results of these computations, are also presented.

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