Moment bound $\frac1T\int_0^T|\zeta(\tfrac12+it)|^{2k}dt=O(T^{\varepsilon})$ for $k=1,2$

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Moment bound $\frac1T\int_0^T|\zeta(\tfrac12+it)|^{2k}dt=O(T^{\varepsilon})$ for $k=1,2$ · Prove2Me