Proves the Dirichlet spectrum D^[1] equals [1/2, 1] and the Minkowski spectrum M equals [1/4, 1/2], with Hausdorff dimensions of level sets Theta_m strictly above 1/2 except equaling 1/2 at m=1/4.
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The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$
Proves the Dirichlet spectrum D^[1] equals [1/2, 1] and the Minkowski spectrum M equals [1/4, 1/2], with Hausdorff dimensions of level sets Theta_m strictly above 1/2 except equaling 1/2 at m=1/4.