WEEKLY ACTIVITIES

On the Mertens function
Speaker: Dang Vu Giang

Time: 9h00, Friday, October 14, 2016
Location: Room 109, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract:Let $M (x)= \sum\limits_{n\le x} {\mu(n)}$ denote the Mertens function. For any fixed $\epsilon>0$ we prove that \[ \frac{\ln\ln w}{\ln^{1+\epsilon}w} \int_1^wM(x)\left[\frac wx\right]\frac{dx}x\to 0 \] as $w\to\infty$. Here, $[a]$ denotes the integer part of $a$.

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Highlights

20/12/24, Colloquium Lecture:
New matrix perturbation bounds via “skewness”: theory and applications.
06/01/25, Conference:
Geometry and Dynamics in Low Dimensions
06/01/25, Conference:
The 3rd Vietnam - Korea joint workshop on selected topics in mathematics
21/07/25, Conference:
International conference on commutative algebra to the memory of Jürgen Herzog

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