Difference between revisions of "Quadratic Reciprocity Theorem"
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<math>\left(\frac{p}{q}\right)\left(\frac{q}{p}\right)=(-1)^{\frac{p-1}{2}\frac{q-1}{2}}</math> | <math>\left(\frac{p}{q}\right)\left(\frac{q}{p}\right)=(-1)^{\frac{p-1}{2}\frac{q-1}{2}}</math> | ||
− | + | ==Links== | |
− | [http://www.artofproblemsolving.com/Wiki/index.php/Quadratic_residues] | + | Quadratic Residues[http://www.artofproblemsolving.com/Wiki/index.php/Quadratic_residues] |
[[Category:Number theory]] | [[Category:Number theory]] |
Revision as of 21:59, 10 October 2011
Quadratic reciprocity is a classic result of number theory.
It is one of the most important theorems in the study of quadratic residues.
It states that for primes
and
greater than
where both are not of the form
for some integer
.
If both and
are of the form
, then
Another way to state this is:
Links
Quadratic Residues[1]