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The functional determinants of the GJMS scalar operators, P_{2k}, oneven-dimensional spheres are computed via Barnes multiple gamma functionsrelying on the numerical availability of the digamma function. For the criticalk=d/2 case, it is necessary to calculate the Stirling moduli. Themultiplicative anomalies are given as odd polynomials in $k$ and it isemphasised that that the Dirichlet--to--Robin factorisation, P_{2l+1}, givesthe same results as P_{2k} if k=l+1/2.The results are presented as graphs andshow a series of extrema in the effective action as k is varied in the reals.For odd dimensions these extrema occur at integer k.

Numerical evaluation of spherical GJMS determinants for even dimensions