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MR1023762 (91d:11164) 11Y50 (11D09)
Hardy, Kenneth; Muskat, Joseph B.; Williams, Kenneth S. A deterministic algorithm for solving $n=fu\sp 2+gv\sp 2$ in coprime integers $u$ and $v$. Math. Comp. 55 (1990), no. 191, 327–343.
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