@article{10_4064_aa149_3_5, author = {Zhi-Hong Sun}, title = {Congruences for $(A+\sqrt {A^2+mB^2})^{(p-1)/2}$ and $(b+\sqrt{a^2+b^2})^{(p-1)/4}\pmod p$}, journal = {Acta Arithmetica}, pages = {275--296}, publisher = {mathdoc}, volume = {149}, number = {3}, year = {2011}, doi = {10.4064/aa149-3-5}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4064/aa149-3-5/} }