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The maximum of the Riemann zeta function on the 1-line

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Speaker: 
Winston Heap
Affiliation: 
London Metropolitan University/MPIM
Date: 
Wed, 2019-12-11 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We consider upper bounds of the Riemann zeta function on the 1-line and demonstrate a link with the maximum of the function S(t) - the remainder in the formula for the number of non-trivial zeros of height t in the critical strip. In particular, we show that a conjecture of Littlewood on the maximum of \zeta(1+it) follows from a folklore conjecture on the max of S(t).

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