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New posts in tetration
Find all integers $n, n\gt2$ such that $n^{n-2}=x^n$ for some $x$
exponentiation
tetration
Function $f$ s.t. $\lim_{x\to\infty}\frac{f(e^x)}{f(x)}=1$
real-analysis
sequences-and-series
limits
divergent-series
tetration
What does $ ^3 3$ mean?
notation
tetration
A limit related to super-root (tetration inverse).
calculus
limits
convergence-divergence
closed-form
tetration
If $y=x^{x^{x^{x^{x^{.^{.^{.}}}}}}}$ then how $y=x^y$?
limits
infinity
tetration
How to solve $x^x = y^y \mod p$?
number-theory
modular-arithmetic
tetration
Prime factors of $\sum_{k=1}^{30}k^{k^k}$
elementary-number-theory
prime-factorization
tetration
What is $\underbrace{2018^{2018^{2018^{\mathstrut^{.^{.^{.^{2018}}}}}}}}_{p\,\text{times}}\pmod p$ where $p$ is an odd prime?
elementary-number-theory
prime-numbers
modular-arithmetic
tetration
big-numbers
Is tetration and quintation etc. of infinite cardinals well defined?
set-theory
tetration
What is the maximum of $\sum_{k=1}^{\infty} (-1)^k(^kx)$?
calculus
sequences-and-series
limits
maxima-minima
tetration
What is the tenth superroot of $e$?
exponentiation
tetration
What is a geometric, physical or other meaning of the tetration?
geometry
special-functions
physics
tetration
hyperoperation
Calculating 7^7^7^7^7^7^7 mod 100
number-theory
modular-arithmetic
tetration
power-towers
Solve $\sum_{n=1}^\inftyΓ(-n,-n)\mathop= \pi\left(\frac1e-1\right)i+ \sum_{n=1}^\infty \frac{(-1)^n \text{Ei}(n)}{n!}+\sum_{n=1}^\infty a_n･(-e)^n $
sequences-and-series
complex-numbers
gamma-function
constants
tetration
Does an iterated exponential $z^{z^{z^{...}}}$ always have a finite period
sequences-and-series
complex-numbers
lambert-w
chaos-theory
tetration
How to find examples of periodic points of the (complex) exponential-function $z \to \exp(z)$?
exponential-function
fixed-point-theorems
tetration
fixed-points
Is it possible to prove the positive root of the equation ${^4}x=2$, $x=1.4466014324...$ is irrational?
irrational-numbers
exponentiation
tetration
transcendental-equations
Solutions of $f(f(z)) = e^z$
complex-analysis
tetration
Does $\lim_{n\rightarrow \infty} \left(r+\frac{1}{n^2}\right)\uparrow \uparrow n=e$ hold?
calculus
limits
tetration
complex-dynamics
Derivative of $x^{x^{\cdot^{\cdot}}}$?
derivatives
exponentiation
tetration
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