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SUMMARY:Max Wenqiang Xu (Stanford University)
DTSTART:20220525T170000Z
DTEND:20220525T172500Z
DTSTAMP:20260423T011437Z
UID:CANT2022/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/22/
 ">On a Turan conjecture and random multiplicative functions</a>\nby Max We
 nqiang Xu (Stanford University) as part of Combinatorial and additive numb
 er theory (CANT 2022)\n\n\nAbstract\nWe show that if $f$ is the random com
 pletely multiplicative function\, \nthe probability that $\\sum_{n\\le x}\
 \frac{f(n)}{n}$ is positive for every $x$ is at least \\\\\n$1-10^{-40}$. 
 For large $x$  we prove an asymptotic upper bound of \\\\\n$O(\\exp(-\\exp
 ( \\frac{\\log x}{C\\log \\log x })))$ on the probability that a particula
 r truncation is negative. 	\nThis is joint work with Rodrigo Angelo.\n
LOCATION:https://researchseminars.org/talk/CANT2022/22/
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