On the Sums of Möbius Function Values of a Finite Poset

The primary aim is to find the upper bounds on the absolute sum of Möbius function values. I will also consider related questions, such as whether it is possible to determine the sum (mod p), where p is prime, for new infinite families of posets P.

Jovana Kolar

The University of New South Wales

Jovana Kolar has just completed her third year of the Bachelor of Actuarial Studies/Advanced Mathematics (Honours) at the University of New South Wales. Recently, Jovana has taken a strong interest in combinatorics, which is also the area of her summer project. Jovana has gained valuable research experience in pure mathematics throughout her university experience and is looking forward to further develop her mathematical knowledge through this research scholarship. In coming years, Jovana hopes to complete an honours in pure mathematics followed by a PhD.

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