Congruences for $(A+√(A²+mB²))^{(p-1)/2)}$ and $(b + √(a²+b²))^{(p-1)/4} (mod p)$

Zhi-Hong Sun

Congruences for

{(A + \sqrt (A ² + m B ²))}^{(p - 1) / 2)}

and

{(b + \sqrt (a ² + b ²))}^{(p - 1) / 4} (m o d p)

Zhi-Hong Sun

Acta Arithmetica, Tome 149 (2011), p. 275-296 / Harvested from The Polish Digital Mathematics Library

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Publié le : 2011-01-01

Zbl 1238.11005

EUDML-ID : urn:eudml:doc:279438

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     author = {Zhi-Hong Sun},
     title = {Congruences for $(A+$\surd$(A$^2$+mB$^2$))^{(p-1)/2)}$ and $(b + $\surd$(a$^2$+b$^2$))^{(p-1)/4} (mod p)$
            },
     journal = {Acta Arithmetica},
     volume = {149},
     year = {2011},
     pages = {275-296},
     zbl = {1238.11005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa149-3-5}
}

Zhi-Hong Sun. Congruences for $(A+√(A²+mB²))^{(p-1)/2)}$ and $(b + √(a²+b²))^{(p-1)/4} (mod p)$
            . Acta Arithmetica, Tome 149 (2011) pp. 275-296. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa149-3-5/