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vito
  • Member for 10 years
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12 votes
1 answer
279 views

Closed form for $\sqrt{1+\sqrt[2!]{2^2+\sqrt[3!]{3^3+...}}}$

9 votes
0 answers
162 views

Closed form for $\sum_{n=1}^\infty \frac{1}{P(n)}$, where $P(n)$ is the partition function.

9 votes
1 answer
748 views

How to plot a hole in a hole in a hole?

8 votes
1 answer
1k views

Elementary proof of Ramanujan's "most beautiful identity"

7 votes
3 answers
3k views

$ n$-dimensional rotation matrix

6 votes
2 answers
371 views

How to solve this equation in radicals?

6 votes
0 answers
93 views

Prove $\dfrac{1}{2}+\sum_{n = 1}^{\infty}\prod_{k = 0}^{N}\text{sinc}(a_kn) = \int_{0}^{\infty}\prod_{k = 0}^{N}\text{sinc}(a_kx)\,dx$ [duplicate]

5 votes
2 answers
381 views

Geometric solution of quintic equations

5 votes
2 answers
367 views

$2^x+7^y=19^z$ has no solution in positive integers $x$, $y$, $z$

5 votes
0 answers
486 views

Rational distances from the corners of a unit square

5 votes
0 answers
975 views

Does $\pi$ contain infinitely many "zeros" in its decimal expansion?

5 votes
0 answers
70 views

Irrationality measure of the number is itself

4 votes
0 answers
195 views

Ramanujan Class Invariant $G_{125}$ and $ G_{5}$ [closed]

4 votes
1 answer
448 views

Proving $\pi=2\sum_{n=0}^{\infty} \arctan \frac{1}{F_{2n+1}}$ [duplicate]

3 votes
1 answer
374 views

Centroid of Mandelbrot Set

3 votes
3 answers
92 views

Prove that $\lim_{n \to \infty}\bigg(1+\frac{\alpha}{f(n)}\bigg)^{f(n)}=e^\alpha$ [closed]

2 votes
1 answer
187 views

Estimate number of solutions in the Roth's theorem

2 votes
1 answer
534 views

$nD$ rotation around a general $(n-2)$-dimensional subspace [duplicate]

2 votes
2 answers
375 views

Counterintuitive Goodstein's Theorem

2 votes
1 answer
204 views

De Moivre's paradox

2 votes
0 answers
139 views

Rogers-Ramanujan continued fraction $R(e^{-2 \pi \sqrt 5})$

2 votes
1 answer
128 views

Finding $f(x)$ such that $\int_{a}^{b}f(x)dx=\sum_{k=a}^{b}f(k)$

2 votes
3 answers
332 views

$1=\lim_{n \to 0} \sqrt{n+\sqrt{n+\sqrt{n+ \ldots}}}$

2 votes
0 answers
120 views

Fibonacci-related infinite sum

2 votes
0 answers
132 views

Size of a geometric point

2 votes
0 answers
190 views

The probabilistic interpretation of ramanujan's constant $ e^{\pi\sqrt{163}}$

2 votes
1 answer
80 views

Irrationality of $\pi+c$

1 vote
0 answers
62 views

Find the function $f(x)$ by using its fourier coefficient

1 vote
2 answers
198 views

Revolution of fractal

1 vote
0 answers
99 views

Proving $\int_0^{\infty} \mathrm{e}^{-x}\log(x)dx=-\gamma$ [duplicate]