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New posts in infinite-product
$\sum|a_n|^2<\infty$ and $\sum a_n<\infty$ implies $\sum\log(1+a_n)$ converges
complex-analysis
infinite-product
Prove that $\ln{\left({A^6\sqrt{\pi}\over 2^{7\over6}e}\right)}=\sum\limits_{n=1}^{\infty}{(-1)^{n+1}\over n(n+1)}\eta(n)$
calculus
sequences-and-series
closed-form
infinite-product
Closed form of infinite product $ \prod\limits_{k=0}^\infty \left(1+\frac{1}{2^{2^k}}\right)$ [closed]
sequences-and-series
infinite-product
Compute the infinite product $\prod\limits_{n=2}^\infty \left(1+\frac{1}{2^n-2}\right)$
sequences-and-series
infinite-product
Infinite product involving primes
analysis
prime-numbers
infinite-product
What is the value of $\prod_{i=1}^\infty \left(1-\frac{1}{2^i}\right)$? [duplicate]
probability
sequences-and-series
infinite-product
How to prove that $\frac{\sin \pi x}{\pi x}=\prod_{n=1}^{\infty}(1-\frac{x^2}{n^2})$ [duplicate]
complex-analysis
products
infinite-product
Is there a closed form for $3\cdot\frac{3}{\sqrt{6}}\cdot\frac{3}{\sqrt{6+\sqrt{6}}}\cdot\frac{3}{\sqrt{6+\sqrt{6+\sqrt{6}}}}\cdots$?
closed-form
infinite-product
nested-radicals
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
How to prove that $\prod_{n=0}^\infty \frac{(4n+2)^2}{(4n+1)(4n+3)}=\sqrt{2}$
infinite-product
Hypergeometric formulas for the Rogers-Ramanujan identities?
special-functions
modular-forms
infinite-product
Evaluating $f(x) f(x/2) f(x/4) f(x/8) \cdots$
sequences-and-series
functional-equations
infinite-product
Find the value of infinite product $(2\cos(\frac{\pi}{9})-1)(2\cos(\frac{\pi}{27})-1)\cdot\cdot\cdot(2\cos(\frac{\pi}{3^{n+1}})-1)\cdot\cdot\cdot$ [duplicate]
algebra-precalculus
infinite-product
Proving that odd partitions and distinct partitions are equal
sequences-and-series
generating-functions
infinite-product
integer-partitions
q-series
Evaluating $\prod_{n=1}^{\infty}\left(1+\frac{1}{2^n}\right)$
sequences-and-series
infinite-product
Convergence of infinite product of prime reciprocals?
number-theory
limits
convergence-divergence
prime-numbers
infinite-product
How to evaluate $\lim\limits_{n\to \infty}\prod\limits_{r=2}^{n}\cos\left(\frac{\pi}{2^{r}}\right)$
calculus
sequences-and-series
limits
trigonometry
infinite-product
Infinite product $(1+z)\prod_{n=1}^{+\infty}(1+z^{2^{n}})$
sequences-and-series
complex-analysis
analysis
convergence-divergence
infinite-product
Closed form for the infinite product $\prod\limits_{k=0}^{\infty} \left( 1-x^{2^k} \right)$
sequences-and-series
infinite-product
Infinite product of sinc functions
infinite-product
hypergeometric-function
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