A computational technique for evaluating 𝐿(1,πœ’) and the class number of a real quadratic field

H. C. Williams, J. Broere Β· Mathematics of Computation Β· 1976

A description is given of a method for estimating L ( 1 , Ο‡ ) 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 , Ο‡ ) L(1,\chi ) were obtained for each real quadratic field Q ( D ) ( D = 2 , 3 , … , 149999 ) Q(\sqrt D )\;(D = 2,3, \ldots ,149999) . Several tables, summarizing various results of these computations, are also presented.

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