Proof of a monotonicity conjecture
نویسندگان
چکیده
has non-negative power series coefficients. The purpose of this note is prove the Conjecture. The conjecture has been established for prime values of n by Andrews [1], and for n ≤ 99, using a computer proof (see [2], [4]). The proof given here relies upon an identity for the rational function of the conjecture, which is our Lemma. A similar identity was found by Andrews [1] to establish the case when n is prime. Recall the notation (a; q)n = (1− a)(1− aq) · · · (1− aq ), [n]q = (1− q )/(1− q), and [
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 103 شماره
صفحات -
تاریخ انتشار 2003