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Sep 15, 2017 at 21:19 comment added karpasi Sorry, comment cut off. The right most inequality in the equation right above the words "And to conclude" seems wrong. after cancelling out some termsseems like the L.H.S. Gives you $\mathbb{E}(e^{-x\sum X_i}|\sum X_i \leq 1)$, while the right hand is just $e^{-x}$.
Sep 15, 2017 at 21:11 comment added karpasi The last inequality in the equation right above the words "And to conclude"
Sep 14, 2017 at 21:26 comment added GH from MO Nice explanation indeed (I fixed some typos). Rankin bound occurs in the context of analytic number theory. It is a technique to bound arithmetic sums via similar looking Dirichlet series.
Sep 14, 2017 at 21:23 history edited GH from MO CC BY-SA 3.0
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Sep 14, 2017 at 17:59 comment added Mikhail Tikhomirov Thanks, this is a very clear explanation of the method and how to apply it.
Sep 14, 2017 at 17:37 history answered RaphaelB4 CC BY-SA 3.0