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홈 > 학술정보 >학술행사 > 세미나
KAIST 수리과학과 세미나

Title
[해외석학 특별강연 시리즈] The Erdős discrepancy problem
Speaker
Terrence Tao   (UCLA )
Date
2017-06-15 16:00:00
Host
KAIST
Place
Fusion Hall(1F), KI Bldg.(#E4)
Abstract
The discrepancy of a sequence f(1), f(2), ... of numbers is defined to be the largest value of |f(d) + f(2d) + ... + f(nd)| as n,d range over the natural numbers. In the 1930s, Erdos posed the question of whether any sequence consisting only of +1 and -1 could have bounded discrepancy. In 2010, the collaborative Polymath5 project showed (among other things) that the problem could be effectively reduced to a problem involving completely multiplicative sequences. Finally, using recent breakthroughs in the asymptotics of completely multiplicative sequences by Matomaki and Radziwill, as well as a surprising application of the Shannon entropy inequalities, the Erdos discrepancy problem was solved in 2015. In this talk I will discuss this solution and its connection to the Chowla and Elliott conjectures in number theory.
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