Density computations for real quadratic 2-class groups

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Abstract

We present an algorithm to compute the 2-part of the class group of quadratic orders of large, factored discriminants and its application to density questions concerning the norm of the fundamental unit in real quadratic orders.

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Bosma, W., & Stevenhagen, P. (1994). Density computations for real quadratic 2-class groups. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 877 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-58691-1_37

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