On the analytic theory of quadratic forms

K. Ramanathan

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Displaying similar documents to “On the analytic theory of quadratic forms”

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We describe an algorithm due to Gauss, Shanks and Lagarias that, given a non-square integer $D \equiv 0, 1$ mod $4$ and the factorization of $D$ , computes the structure of the $2$ -Sylow subgroup of the class group of the quadratic order of discriminant $D$ in random polynomial time in $log |D|$ .