Newbetuts
.
New posts in experimental-mathematics
Fibonacci numbers and the nontrivial zeros of the Riemann zeta function
recreational-mathematics
fibonacci-numbers
riemann-zeta
experimental-mathematics
Closed form for $\sum_{n=0}^\infty\frac{\Gamma\left(n+\tfrac14\right)}{2^n\,(4n+1)^2\,n!}$
sequences-and-series
hypergeometric-function
polylogarithm
experimental-mathematics
polygamma
Is there a real number lookup algorithm or service?
math-software
experimental-mathematics
Why is this family of dynamical systems able to produce spirals and clusters of points?
recurrence-relations
dynamical-systems
visualization
experimental-mathematics
chaos-theory
Most wanted reproducible results in computational algebra
abstract-algebra
big-list
computer-algebra-systems
computational-algebra
experimental-mathematics
On Reshetnikov's integral $\int_0^1\frac{dx}{\sqrt[3]x\ \sqrt[6]{1-x}\ \sqrt{1-x\,\alpha^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{3}\,|\alpha|}$
calculus
integration
definite-integrals
closed-form
experimental-mathematics
A number $n$ which is the sum of all numbers $k$ with $\sigma(k)=n$?
elementary-number-theory
divisor-sum
experimental-mathematics
On the integral $\int_0^1\frac{dx}{\sqrt[4]x\ \sqrt{1-x}\ \sqrt[4]{1-x\,\gamma^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{2\gamma}}$
integration
definite-integrals
closed-form
elliptic-curves
experimental-mathematics
Conjecture $\int_0^1\ln\ln\left(\frac{1+x}{1-x}\right)\frac{\ln x}{1-x^2}\,dx\stackrel?=\frac{\pi^2}{24}\,\ln\left(\frac{A^{36}}{16\,\pi^3}\right)$
integration
definite-integrals
logarithms
riemann-zeta
experimental-mathematics
Free online mathematical software
big-list
math-software
experimental-mathematics
Testing Zeros Of The Riemann Hypothesis [closed]
number-theory
computer-science
riemann-zeta
riemann-hypothesis
experimental-mathematics
Conjecture ${\large\int}_0^\infty\left[\frac1{x^4}-\frac1{2x^3}+\frac1{12\,x^2}-\frac1{\left(e^x-1\right)x^3}\right]dx=\frac{\zeta(3)}{8\pi^2}$
calculus
integration
definite-integrals
closed-form
experimental-mathematics
On binomial sums $\sum_{n=1}^\infty \frac{1}{n^k\,\binom {2n}n}$ and log sine integrals
riemann-zeta
harmonic-numbers
experimental-mathematics
definite-integrals
binomial-coefficients
Mind-blowing mathematics experiments
soft-question
experimental-mathematics
Unexpected approximations which have led to important mathematical discoveries
soft-question
math-history
big-list
experimental-mathematics
Closed form solution for $\sum_{n=1}^\infty\frac{1}{1+\frac{n^2}{1+\frac{1}{\stackrel{\ddots}{1+\frac{1}{1+n^2}}}}}$.
limits
fibonacci-numbers
continued-fractions
experimental-mathematics
lucas-numbers
Conjectured formula for the Fabius function
real-analysis
sequences-and-series
conjectures
experimental-mathematics
q-analogs
If I flip a coin 1000 times in a row and it lands on heads all 1000 times, what is the probability that it's an unfair coin?
probability
statistics
experimental-mathematics
Prev