-
Recent Posts
- More Fun With Combinatorics: A Very Short Post
- The probability that $s$ integers are relatively $r$-prime for a class of probability distributions on the integers
- Fun Polynomial Problem
- On The Product of All Primes Between $N$ and $2N$ Compared to $2^{N}$
- All Harmonic Series Diverge — And a Consequence!
Recent Comments
Archives
Categories
Meta
Category Archives: Problems
A Generalized Fun Integral Problem (and Particular Values of the Riemann $\zeta$ Function)
In an earlier post, titled A Fun Integral Problem, I gave a calculation for an integral as an infinite sum $\sum_{n=1}^{\infty}\frac{1}{n^{2}}$. I’ve been told that I should generalize it, so I’ll do that here (hence the title). I will also … Continue reading
Posted in Number Theory, Problems
Leave a comment
A Fun Integral Problem
I ask that anyone who has had multivariable calculus please stop right now and try to work out this problem. $$\int_0^1\int_0^1\frac{dx\,dy}{1-xy}.$$ Hint: The integrand looks familiar!
Posted in Problems
Leave a comment
Studying for Comprehensive Exams (Part 1)
So as I study for my comprehensive exams, I will post some of my favorite problems from my studies.
Posted in Problems
Leave a comment