Congruences for $(A+\sqrt {A^2+mB^2})^{(p-1)/2}$ and $(b+\sqrt{a^2+b^2})^{(p-1)/4}\pmod p$
Volume 149 / 2011
Acta Arithmetica 149 (2011), 275-296
MSC: Primary 11A15; Secondary 11A07, 11B39, 11E25.
DOI: 10.4064/aa149-3-5