Positivity of the Gillis-Reznick-Zeilberger rational function

نویسنده

  • Veronika Pillwein
چکیده

In this note we provide further evidence for a conjecture of Gillis, Reznick, and Zeilberger on the positivity of the diagonal coefficients of a multivariate rational function. Kauers had proven this conjecture for up to 6 variables using computer algebra. We present a variation of his approach that allows us to prove positivity of the coefficients up to 17 variables using symbolic computation.

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تاریخ انتشار 2018