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Timeline for Divisor sum estimate

Current License: CC BY-SA 3.0

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Jul 16, 2017 at 4:21 answer added Alexey Ustinov timeline score: 0
Jul 15, 2017 at 15:18 answer added user111966 timeline score: 1
Jul 14, 2017 at 23:04 history edited Stopple CC BY-SA 3.0
expanded on Jagy's answer.
Jul 14, 2017 at 22:51 vote accept Stopple
Jul 14, 2017 at 22:35 answer added Henri Cohen timeline score: 4
Jul 14, 2017 at 22:11 answer added Will Jagy timeline score: 9
Jul 14, 2017 at 21:02 comment added Stopple @WillJagy This is helpful; if you make it an answer I'll accept it.
Jul 14, 2017 at 20:57 comment added Gerhard Paseman Is this not a multiplicative function of n? If it is, solving it for prime powers should work. For prime powers $p^k$ I get something less than A/(A-1) where A is $p^{\sigma}$. Gerhard "Surely It Must Be Multiplicative" Paseman, 2017.07.14.
Jul 14, 2017 at 20:49 comment added Lucia For example it is less than $d(n)$, which is less than $C(\epsilon)n^{\epsilon}$ for any $\epsilon >0$.
Jul 14, 2017 at 20:29 comment added Will Jagy This is the topic in a Ramanujan article fragment math.univ-lyon1.fr/~nicolas/ramanujanNR.pdf The entirety of the original article was not published as there were shortages of many things, including paper. The recent movie gives a good feel for this. I should add that i wrote to Nicolas for confirmation of some asymptotics (at least under RH) and he confirmed that there was a sudden transition at one end of the $0 \leq \sigma \leq 1$ segment, cannot immediately recall.
Jul 14, 2017 at 20:20 history asked Stopple CC BY-SA 3.0