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Speaker:
Winston Heap
Zugehörigkeit:
London Metropolitan University/MPIM
Datum:
Mit, 11/12/2019 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar We describe a possible alternative to the explicit formula and give two applications. The first relates the maximum of the Riemann zeta function on the one-line (and in the critical strip) to the maximum of S(t) - the remainder in the formula for the number of non-trivial zeros of height t. The second is concerned with cancellations of the Mobius function. In particular, we give new conditional upper bounds for partial sums of the Mobius function.
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