I write, therefore I am

Saturday, June 10, 2017

An Expected Value problem II

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We saw the explicit expression for the expected distance from a random point inside a rectangle to an edge of the rectangle in the previou...
Wednesday, June 7, 2017

An Expected Value Problem

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Hi All... Recently I thought of a problem and tried to solve it. To my surprise, I ended up with a closed form solution for the same which ...
Saturday, May 13, 2017

Division of Dirichlet Series with Python

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We saw how to do Dirichlet Series multiplication in the previous post. This post is about dividing two Dirichlet series. Using pretty ...

Multiplication of Dirichlet Series with Python

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It is well known that polynomial multiplication can be much more efficiently using Fast Fourier Transform. I was searching for similar ...
Monday, April 10, 2017

Divisor functions - Continued..

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This post continues the discussion we had in my previous post . I discussed only $k=0$ case before dismissing the others as uninteres...
Friday, April 7, 2017

Divisor functions

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Oh... I didn't realize I'vnt posted anything this year. Anyway, here's my first post of the year - my thoughts on the Divis...
Thursday, November 24, 2016

SquareFree numbers with exactly $k$ factors

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A positive integer is squarefree if and only if it is not divisible by any perfect square other than 1. That makes them interesting. This ...
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