Results 1 to 3 of 3

Math Help - About Bernoulli Numbers

  1. #1
    Member
    Joined
    May 2009
    Posts
    77

    About Bernoulli Numbers

    Hi everyone
    While i am working on some computer algorithms, I encounter the following

    N^{(s+1)}-N=0 mod{ }Denominator[B_s]

    Where Bs is the s bernoulli number and N any integer.
    Is this well known?

    If it is, please provide me some internet links
    It it is not, please tell me also!

    (ps: I have found some equlavets of this relation)

    Thank you a lot.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    I don't know the answer to that question, but it looks as though it may be related to the Staudt–Clausen theorem.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    May 2009
    Posts
    77
    Thank you for your reply
    Yes it might be similar with Staudt–Clausen therem and it might be similar to kummer congruensies (as far i searched)

    Anyway i have prepared a paper all these days (adout this)
    wich unfortunatelly i do not have all the proofs (look attacment)


    I want to send to some of my friends that they are in university (unfortunatelly now its summer and i have to wait until sempeber) to examine it.
    However any suggestions would be very greatfull
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Bernoulli Numbers
    Posted in the Number Theory Forum
    Replies: 6
    Last Post: January 4th 2009, 04:07 PM
  2. Bernoulli numbers
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: December 26th 2007, 05:50 AM
  3. Proving Bernoulli numbers eq'n please help
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: May 22nd 2007, 08:00 PM
  4. Where are Bernoulli numbers used?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 22nd 2007, 05:47 PM
  5. Bernoulli numbers
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: May 12th 2006, 06:18 AM

Search Tags


/mathhelpforum @mathhelpforum