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pie
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I am a self-learner who aspires to be a mathematician someday. I know I have a lot to learn, but I will try my best to understand mathematics and achieve my dream.

The name Pie came from the numbers $\pi$ and $ e$ I found it funny that combining these two gives us pie:).

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16
Is it known that the Collatz-like sequence with 7n+1 diverges to infinity starting with 7?
Jun 11, 2024
9
How complicated can an elementary antiderivative get?
Jan 22, 2024
9
Convergence of sequences formed by orthocenters, incenters, and centroids in repeated triangle constructions
May 26, 2024
9
Does the sequence formed by Intersecting angle bisector in a pentagon converge?
Jun 26, 2024
8
What are the $\inf$ and $\sup$ of the area of quadrilateral given its sides length?
Apr 12, 2024
7
A polynomial identity for $\displaystyle \sum_{k=0} ^m (-1)^ka^{m-k}b^k$
Feb 11, 2024
7
For this continuous non differentiable function $f$ How to determine $\sup\{a\}$ s.t $\lim\limits_{h\to0}\frac{f(x+h)-f(x)}{h^\alpha}=0$ for all $x$?
Apr 19, 2024
7
Representing $\Gamma(a-x)$ in terms of $\Gamma(kx)$ and $\Gamma(a)$ and elementary functions
May 3, 2024
6
For all $n\in \mathbb{N}$, How to find $\min\{ m+k\}$ such that $ \binom{m}{k}=n$?
Jul 14, 2024
6
How many roots do $\tan(z)-z^n = 0$, $\sin(z)-z^n=0, \ \cos(z)-z^n=0, $ have?
Jul 29, 2024
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28
Evaluate the integral $\int_{-\infty}^{\infty}\binom{n}{x}dx$.
23
Conjecture: $\sum\limits_{k=1}^nk^m=S_3(n)\times\frac{P_{m-3}(n)}{N_m}$ for odd $m>1 \ ;\ =S_2(n)\times\frac{P_{m-2}'(n)}{N_m}$ for even $m$.
20
How to start learning philosophy and overcome my bias towards mathematics?
17
Complex analysis book recommendations with more exercise than Ahlfors' book.
15
How to evaluate $\int_0^{\frac{\pi}{2}} \frac{\ln(\cos(x))}{1+\sin^2(x)} \, dx$