Notices
Results 1 to 3 of 3

Thread: Iteration on Functions

  1. #1 Iteration on Functions 
    Forum Sophomore
    Join Date
    Jul 2007
    Location
    South Africa
    Posts
    196
    For the divisor function I succeded in writing the n+1'th iteration in terms of the n'th using an operator and binary strings.

    The formulas are derived from the generating function, where you need the n'th derivation of a sum to compute this.

    This would enable proving theorems about the divisor function by induction.

    Would this be new or do something similar exist?


    It also matters what isn't there - Tao Te Ching interpreted.
    Reply With Quote  
     

  2.  
     

  3. #2  
    Forum Sophomore
    Join Date
    Jul 2007
    Location
    South Africa
    Posts
    196
    That generating function method of calculation reqiures that a pole at zero of order 2 and larger is cancelled by multiplication with zero:

    nq^(-k)

    is equal to zero if n is zero and q(complex variable) tends to zero. Is this correct?


    It also matters what isn't there - Tao Te Ching interpreted.
    Reply With Quote  
     

  4. #3  
    Forum Sophomore
    Join Date
    Jul 2007
    Location
    South Africa
    Posts
    196
    My formulas do not contain any differentiation symbol of any order.
    It also matters what isn't there - Tao Te Ching interpreted.
    Reply With Quote  
     

Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •