User C-RAM - Mathematics Stack Exchange

C-RAM

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reputation

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Ontario, Canada
Member since October 07 2020
1091 profile views
Last seen Jun 04 '23 at 03:01

Bachelor's degree in pure mathematics from the University of Waterloo.

I enjoy working on problems in analytic number theory and combinatorics, as well as evaluating interesting integrals and series.

Some of my more interesting answers so far:

On the function $Q(x)=\sum_{n=1}^\infty \frac{P_n(x)}{n(2n+1)}$ where $P_n(x)$ are polynomials defined by the binary expansion of $n$.
Evaluating a multidimentional integral: $\int_0^1\int_0^1\cdots\int_0^1\frac{n\max\{x_1,x_2,\cdots,x_n\}}{x_1+x_2+\cdots+x_n}dx_1dx_2\cdots dx_n$
An odd proof of an astounding identity: $\int_0^{\pi/2}\ln\lvert\sin(mx)\rvert\cdot \ln\lvert\sin(nx)\rvert\, dx$
An interesting proof of a theorem of Kronecker on the roots of monic polynomials in $\mathbb{Z}[x]$.