Congruences for ( A + √ ( A ² + m B ² ) ) ( p - 1 ) / 2 ) and ( b + √ ( a ² + b ² ) ) ( p - 1 ) / 4 ( m o d p )

Zhi-Hong Sun

Acta Arithmetica (2011)

  • Volume: 149, Issue: 3, page 275-296
  • ISSN: 0065-1036

How to cite

top

Zhi-Hong Sun. "Congruences for $(A+√(A²+mB²))^{(p-1)/2)}$ and $(b + √(a²+b²))^{(p-1)/4} (mod p)$." Acta Arithmetica 149.3 (2011): 275-296. <http://eudml.org/doc/279438>.

@article{Zhi2011,
author = {Zhi-Hong Sun},
journal = {Acta Arithmetica},
keywords = {congruence; quartic Jacobi symbol; Lucas sequence; binary quadratic form},
language = {eng},
number = {3},
pages = {275-296},
title = {Congruences for $(A+√(A²+mB²))^\{(p-1)/2)\}$ and $(b + √(a²+b²))^\{(p-1)/4\} (mod p)$},
url = {http://eudml.org/doc/279438},
volume = {149},
year = {2011},
}

TY - JOUR
AU - Zhi-Hong Sun
TI - Congruences for $(A+√(A²+mB²))^{(p-1)/2)}$ and $(b + √(a²+b²))^{(p-1)/4} (mod p)$
JO - Acta Arithmetica
PY - 2011
VL - 149
IS - 3
SP - 275
EP - 296
LA - eng
KW - congruence; quartic Jacobi symbol; Lucas sequence; binary quadratic form
UR - http://eudml.org/doc/279438
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.