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The Erdös discrepancy problem over the squarefree and cubefree integers

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Speaker: 
Marco Aymone
Affiliation: 
Federal University from Minas Gerais, Brazil
Date: 
Wed, 2020-02-19 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

A question of Erdös, known as the Erdös discrepancy problem, asks if any arithmetic sequence of +-1 has infinite discrepancy. This has became a Theorem by T. Tao in 2015. A key step in its proof was to show that a completely multiplicative function assuming only +-1 values has unbounded partial sums. In this talk I will consider similar questions for multiplicative functions supported on the squarefree and cubefree integers.

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