Timeline for Computing $\prod_p(\frac{p^2-1}{p^2+1})$ without the zeta function?

14 events

when toggle format	what		by	license	comment
Jun 1, 2014 at 21:38	answer	added	ACL		timeline score: 8
Jun 1, 2014 at 19:47	history	edited	Michael Hardy	CC BY-SA 3.0	added 50 characters in body; edited title
Jun 1, 2014 at 12:23	answer	added	Testcase		timeline score: 33
May 31, 2014 at 22:19	vote	accept	William Chang
May 30, 2014 at 19:06	answer	added	David E Speyer		timeline score: 60
Apr 23, 2014 at 19:07	vote	accept	William Chang
May 31, 2014 at 22:19
Apr 23, 2014 at 15:08	answer	added	so-called friend Don		timeline score: 41
S Apr 23, 2014 at 13:40	history	suggested	GNiklasch	CC BY-SA 3.0	rearranged first chain of equalities and added missing factor in one denominator
Apr 23, 2014 at 13:18	review	Suggested edits
S Apr 23, 2014 at 13:40
Apr 23, 2014 at 13:00	history	edited	Gerry Myerson	CC BY-SA 3.0	reworded a little to remove "infinite primes"
Apr 23, 2014 at 11:48	comment	added	KConrad		The product seems "simple" only because the expression was rigged to remove the powers of $\pi$ in $\zeta(2)$ and $\zeta(4)$. Also, your factorization with terms $(p-1)/(p\pm i)$ is into two products that are each divergent, though that wouldn't stop Ramanujan.
Apr 23, 2014 at 11:27	comment	added	Dietrich Burde		The result is attributed to Ramanujan (1913-1914), who may have used other methods (like hypergeometric series, continued fractions etc.). A reference is Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 46, 1983.
Apr 23, 2014 at 6:54	review	First posts
Apr 23, 2014 at 7:32
Apr 23, 2014 at 6:37	history	asked	William Chang	CC BY-SA 3.0