Results 1 to 4 of 4

Math Help - Dirichlet characters

  1. #1
    Newbie
    Joined
    May 2013
    From
    United Kingdom
    Posts
    9

    Dirichlet characters

    Hi! So i have made a table of all the nonprincipal Dirichlet characters mod 16. Is the following table correct?

    n 1 3 5 7 9 11 13 15
    X1(n) 1 1 1 1 1 1 1 1
    X2(n) 1 i -i -1 -1 -i i 1
    X3(n) 1 -1 -1 1 1 -1 -1 1
    X4(n) 1 -i i -1 -1 i -i 1
    X5(n) 1 1 -1 -1 1 1 -1 -1
    X6(n) 1 i i 1 -1 -i -i -1
    X7(n) 1 -1 1 -1 1 -1 1 -1
    X8(n) 1 -i -i 1 -1 i i -1

    I now want to verify from this table that for each real-valued nonprincipal character X mod 16, that: L(1,X) does not = 0. Any ideas on how to do this?

    Thanks

    Lexi
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Aug 2012
    From
    India
    Posts
    27
    Thanks
    3

    Re: Dirichlet characters

    lexi belle is a pornstar.isnt she??
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,212
    Thanks
    419
    Awards
    1

    Re: Dirichlet characters

    Member warned.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    May 2013
    From
    United Kingdom
    Posts
    9

    Re: Dirichlet characters

    who's being warned? can anyone actually help with this or is it just getting trolled lol?!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Dirichlet characters
    Posted in the Calculus Forum
    Replies: 0
    Last Post: July 10th 2013, 10:09 AM
  2. Dirichlet characters
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: December 9th 2010, 10:32 AM
  3. Replies: 0
    Last Post: April 24th 2010, 08:25 PM
  4. characters of S_n from A_n
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 15th 2009, 11:10 PM
  5. characters of S_5
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 15th 2009, 01:53 AM

Search Tags


/mathhelpforum @mathhelpforum