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Re: Program to calculate rational function with imbedded continued fraction
*To*: mathgroup at smc.vnet.net
*Subject*: [mg69912] Re: Program to calculate rational function with imbedded continued fraction
*From*: "Diana" <diana.mecum at gmail.com>
*Date*: Wed, 27 Sep 2006 06:05:05 -0400 (EDT)
*References*: <efarkg$7up$1@smc.vnet.net>
Dimitris,
Thank you so much. I will try to be more clear.
I am writing a thesis related to analogs of "e" in the function field
case.
e(1) is written as a continued fraction.
One example of e(1) for characteristic 2 is the following: [i] = T^2^i
- T
e(1) - 1 = [0, [1], [2], [1], [3], [1], [2], [1], [4], [1], [2], [1],
[3], [1], [2], [1], [5], [1], [2], [1], [3], [1], [2], [1], [4], [1],
[2], [1], [3], [1], [2], [1], [6], [1], [2], [1], [3], [1], [2], [1],
[4], [1], [2], [1], [3], [1], [2], [1], [5], [1], [2], [1], [3], [1],
[2], [1], [4], [1], [2], [1], [3], [1], [2], [1], [7] ...]
You see that the pattern does not repeat or terminate. I will only be
able to provide a finite length of the sequence.
Then, I am trying to calculate, for various x, y, z, w, xw - yz != 0
(xe(1) - y)/(ze(1) - w).
x, y, z, and w are polynomials of T in characteristic 2.
For example, (e(1) -t)(t^2e - 1)
I am able to calculate FromContinuedFraction of each of the top and
bottom expressions, but then need a program to calculate the continued
fraction of that. I have attached a Mathematica file for which I need
to calculate the continued fraction.
So, for example, I would like to be able to calculate the continued
fraction of
(FromContinuedFraction[0, [1], [2], [1], [3], [1], [2], [4]] - T)/(T^2
FromContinuedFraction[0, [1], [2], [1], [3], [1], [2], [4]] -1)
Thanks for your time.
Diana
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