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Math Help - Ramanujan

  1. #1
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    Ramanujan

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  2. #2
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    Hi. You asked to solve one such system for the values you gave and I tried to think of the most compact way of doing so in Mathematica:

    Code:
    coeff = {2, 3, 4, 6, 12, 32}; 
    mycoeff = Table[Subscript[a, n] -> 
         coeff[[n]], {n, 1, 6}]; 
    myvars = Join[Table[Subscript[x, n], 
         {n, 1, 3}], Table[Subscript[y, n], 
         {n, 1, 3}]]; 
    myequations = Table[
        Sum[Subscript[x, j]*Subscript[y, j]^
            (n - 1), {j, 1, 3}] == 
         Subscript[a, n], {n, 1, 6}]; 
    Solve[myequations /. mycoeff, myvars]
    which returns six sets of solutions.
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  3. #3
    Junior Member
    Joined
    Dec 2009
    Posts
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    Thanks for your reply. I didn't think at PC program for solving; such sistems are actuel in code theory and Ramanujan discavered method (in 1913) of solving such sistems. This is what I'm interesting.

    Update:O my God, I have a book in which this stuff is considered. So, here I will share this with poeple. Languge is russian, but it doesn't metter to much




    I hope somebody will find this Ramanujan's paper in english.
    And I findet what is neccessary

    http://www.ams.org/bookstore-getitem/item=CHEL/159.H

    Good bless Google!!!

    and here is another one

    http://bmf.hu/conferences/cinti2007/18_DombiJozsef.pdf

    Well, maybe it was better that I post this in Web-room.

    and here you can see this paper at

    http://books.google.com/books?id=Efn...ations&f=false

    and list of all papers here

    http://www.imsc.res.in/~rao/ramanuja...ctedright1.htm
    Last edited by ns1954; January 21st 2010 at 06:13 PM.
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