Loading ...
Sorry, an error occurred while loading the content.
 

More Bernoulli proof

Expand Messages
  • Phil Carmody
    Message 1 of 1 , May 27, 2002
      <<<
      Here's the outline of another proof valid for even m.
      One can easily show that S(p^r,m)/p^r - S(p^{r+1},m)/p^{r+1}
      is an integer for prime p and r >=1. As S(p^r,m)/p^r -> B_m
      p-adically as r -> infinity then we get
      S(p^r,m)/p^r is an integer for some r >= 1
      iff
      S(p^r,m)/p^r is an integer for all r >= 1
      iff
      B_m is p-integral.
      >>>

      Robin Chapman's on form it appears!
      That one looks far simpler for its half of the cases.

      Phil




      =====
      --
      "One cannot delete the Web browser from KDE without
      losing the ability to manage files on the user's own
      hard disk." - Prof. Stuart E Madnick, MIT.
      So called "expert" witness for Microsoft. 2002/05/02

      __________________________________________________
      Do You Yahoo!?
      Yahoo! - Official partner of 2002 FIFA World Cup
      http://fifaworldcup.yahoo.com
    Your message has been successfully submitted and would be delivered to recipients shortly.