Lemma 1 — Gaussian moment bounds $M_p \le n^{p/2}$ ($p\le2$), $n^{p/2}\le M_p\le(p+n)^{p/2}$ ($p\ge2$)

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Lemma 1 — Gaussian moment bounds $M_p \le n^{p/2}$ ($p\le2$), $n^{p/2}\le M_p\le(p+n)^{p/2}$ ($p\ge2$) · Prove2Me