Harmonic entropy: Difference between revisions
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<math>\displaystyle K^a(n) = \mathcal{F}^{-1}\left\{|\zeta(0.5a+ t) |^2\right\}(n)</math> | <math>\displaystyle K^a(n) = \mathcal{F}^{-1}\left\{|\zeta(0.5a+ t) |^2\right\}(n)</math> | ||
so that the choice of <math>a</math> simply changes our choice of vertical slice of the Riemann zeta function. | so that the choice of <math>a</math> simply changes our choice of vertical slice of the Riemann zeta function, as well as the shape of our spreading function (because it is also being raised to a power). If our spreading function is a Gaussian, then we simply get another Gaussian with a different standard deviation. | ||
===Analytic Continuation of Unnormalized Harmonic Rényi Entropy=== | ===Analytic Continuation of Unnormalized Harmonic Rényi Entropy=== | ||