Timeline for Generalization of $\lim_{n \rightarrow \infty} \prod_{i=1}^{n}\frac{2i-1}{2i}$ for a character $\chi:\mathbb{Z}/s \mathbb{Z} \rightarrow \mathbb{C}^*$

10 events

when toggle format	what		by	license	comment
Dec 30, 2020 at 23:35	vote	accept	gigi
Dec 30, 2020 at 21:29	answer	added	Wojowu		timeline score: 8
Dec 30, 2020 at 21:07	history	edited	gigi	CC BY-SA 4.0	deleted 12 characters in body
Dec 30, 2020 at 20:58	comment	added	gigi		@FedorPetrov oh I see what you mean, now I think the notation problem is fixed. Thank you!
Dec 30, 2020 at 20:57	history	edited	gigi	CC BY-SA 4.0	added 148 characters in body
Dec 30, 2020 at 20:32	comment	added	Fedor Petrov		$\lim_{n \rightarrow \infty}(\prod_{i=1}^{n}i^{\chi(i \: \text{mod} 2\mathbb{Z})})^{-1}$ - if $n$ is even yes, but if $n$ is odd no.
Dec 30, 2020 at 19:28	history	edited	gigi	CC BY-SA 4.0	deleted 18 characters in body
Dec 30, 2020 at 19:26	comment	added	gigi		@YemonChoi yeah sure, I'll fix it. Thank you.
Dec 30, 2020 at 19:16	comment	added	Yemon Choi		Something is wrong with your notation. Even if we can give meaning to the expression $\prod_{n\in {\bf N}} n^{\chi(n+2{\bf Z})}$, you can't take the "limit of this as $n$ tends to infinity" because $n$ is a "bound variable" or "dummy variable" rather than an outside parameter
Dec 30, 2020 at 19:07	history	asked	gigi	CC BY-SA 4.0