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Math Help - a "well-known" result in shannon's paper "A mathematical theory of communication"

  1. #1
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    a "well-known" result in shannon's paper "A mathematical theory of communication"

    In Shannon's 1948 paper "A Mathematical Theory of Communication", early on he derives the equation
    N(t) = N(t-t1) + N(t-t2) + + N(t-tn)

    He then says "according to a well-known result in finite differences, N(t) is then asymptotic for large t to (X0)^t where (X0)^t is the largest real solution of the equation
    X^(-t1) + X^(-t2)++X^(-tn) = 1 "
    He does not cite a reference.
    Intuitively,it seems to be true.but someone can help me in details? or tell me the reference at least. thx~
    here is the paper:
    a "well-known" result in shannon's paper "A mathematical theory of communication"-well-known-eq.jpg
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  2. #2
    MHF Contributor
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    Re: a "well-known" result in shannon's paper "A mathematical theory of communication"

    It's probably this theorem.
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