Results 1 to 3 of 3

Math Help - use quadratic reciprocity to prove...

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    34

    use quadratic reciprocity to prove...

    Use our version of quadratic reciprocity to prove Euler's version, which is that (for p, q odd primes) (-1)^((p-1)/2)p is a quadratic residue modulo q if and only if q is a quadratic residue modulo p.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
    From
    Champaign, Illinois
    Posts
    1,163
    Quote Originally Posted by NikoBellic View Post
    Use our version of quadratic reciprocity to prove Euler's version, which is that (for p, q odd primes) (-1)^((p-1)/2)p is a quadratic residue modulo q if and only if q is a quadratic residue modulo p.
    What is 'our' version?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2010
    Posts
    34
    I think it's just the standard version.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Quadratic reciprocity
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: July 21st 2011, 03:51 AM
  2. Quadratic Reciprocity
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: May 20th 2009, 03:14 PM
  3. Quadratic Reciprocity Proof
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: April 17th 2009, 09:50 AM
  4. need help on quadratic reciprocity
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: April 15th 2009, 02:01 PM
  5. Quadratic Reciprocity
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: September 25th 2008, 10:09 AM

Search Tags


/mathhelpforum @mathhelpforum