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New posts in experimental-mathematics
Statistics for $N$ in sum of cubes $a^3+b^3+c^3 = N^3$?
number-theory
diophantine-equations
experimental-mathematics
Trilogarithm $\operatorname{Li}_3(z)$ and the imaginary golden ratio $i\,\phi$
complex-analysis
logarithms
golden-ratio
polylogarithm
experimental-mathematics
On $_2F_1(\tfrac13,\tfrac23;\tfrac56;\tfrac{27}{32}) = \tfrac85$ and $_2F_1(\tfrac14,\tfrac34;\tfrac78;\tfrac{48}{49}) = \tfrac{\sqrt7}3(1+\sqrt2)$
calculus
radicals
hypergeometric-function
experimental-mathematics
Reducibility of $x^{2n} + x^{2n-2} + \cdots + x^{2} + 1$
algebra-precalculus
polynomials
factoring
irreducible-polynomials
experimental-mathematics
Making something a control parameter or a variable when analysing a dynamical system
recurrence-relations
dynamical-systems
visualization
chaos-theory
experimental-mathematics
Does the fraction of distinct substrings in prefixes of the Thue–Morse sequence of length $2^n$ tend to $73/96$?
sequences-and-series
discrete-mathematics
conjectures
experimental-mathematics
combinatorics-on-words
An asymptotic series for $\small\prod_{k=n}^\infty\operatorname{sinc}\left({2^{-k}}\pi\right),\,n\to\infty$
asymptotics
infinite-product
conjectures
dirichlet-series
experimental-mathematics
$1$ as difference of composites with same number of prime factors and smallest examples
elementary-number-theory
prime-numbers
experimental-mathematics
Relationship between primes and practical numbers
number-theory
prime-numbers
recreational-mathematics
pattern-recognition
experimental-mathematics
Extracting an asymptotic from a sequence defined by a recurrence relation
sequences-and-series
summation
asymptotics
recurrence-relations
experimental-mathematics
Prove that $\int_0^\infty\left(\arctan \frac1x\right)^2 \mathrm d x = \pi\ln 2$
calculus
integration
improper-integrals
conjectures
experimental-mathematics
Yet another nested radical
sequences-and-series
experimental-mathematics
nested-radicals
Websites that promote co-operation and social networking among mathematicians
soft-question
big-list
online-resources
experimental-mathematics
Yet another conjecture about primes
prime-numbers
conjectures
experimental-mathematics
Does $\pi$ satisfy the law of the iterated logarithm?
number-theory
statistics
random
pi
experimental-mathematics
How would you prove that there is only a finite number of these primes?
elementary-number-theory
prime-numbers
recreational-mathematics
experimental-mathematics
Conjectures Disproven by the use of Computers?
soft-question
big-list
conjectures
experimental-mathematics
computer-assisted-proofs
Origin of rapidly converging sequence for $e^\pi$
sequences-and-series
elliptic-integrals
experimental-mathematics
Conjectured closed form for $\operatorname{Li}_2\!\left(\sqrt{2-\sqrt3}\cdot e^{i\pi/12}\right)$
closed-form
conjectures
polylogarithm
experimental-mathematics
polygamma
The closed-form solution of the family $\sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{1}{nm(pn+m)}$?
integration
definite-integrals
closed-form
constants
experimental-mathematics
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