Author Archives: Muhammad Atif Zaheer
Why this blog?
For as long as I can remember I have always struggled with taking notes. In the past I started a few blogs but I stopped posting after some time. I will try to be consistent this time and aim to … Continue reading
Posted in Uncategorized
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Recreational problem 1: Cutting a cake into maximum number of pieces
What is the maximum number of pieces a cake can be cut into using $n$ straight cuts? I came across this interesting problem on facebook. Let us denote the maximum number in above problem by $C(n)$. If $n = 1$, … Continue reading
Posted in Combinatorics, Recreational problems
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Arithmetic functions
An arithmetic function is a complex-valued function defined on the set of natural numbers, i.e., it is of the form $f : \mathbb{N} \to \mathbb{C}$. In number theory, one is usually interested in those arithmetic functions $f$ for which $f(n)$ … Continue reading
Posted in Analytic number theory
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