Talk:Erdős–Borwein constant

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is this interesting?[edit]

It's an interesting number of course, but what of it? A constant that is irrational, and can be expressed as it is shown. That's all great, but aside from that, is there any use found for it in other mathematical topics? Does it correspond with anything in nature (like logarithmic spirals can be found in the arrangement of sunflower florets)? Seems like it would be good to include this information here, if it is exists. I couldn't find anything online, but perhaps I looked in the wrong places? Cyberherbalist (talk) 20:31, 28 August 2012 (UTC)Reply[reply]

I added some references, including one showing that this particular constant is relevant for the analysis of algorithms. As for how I found it: by following the link to the MathWorld page and looking at the references listed there. —David Eppstein (talk) 21:06, 28 August 2012 (UTC)Reply[reply]
Constants such as this are commonly investigated in number theory. You'd be amazed at the amount of ink spilled on stuff like this; people love to obtain relationships on these kinds of things. The Borweins are among the most capable and respected of the practitioners, but there are many. For addtional references, look at Philippe Flajolet's "Analytic Combinatorics". While I haven't looked, it's hard to imagine that this constant would be absent from that book. (talk) 15:13, 6 June 2021 (UTC)Reply[reply]
I don't see it there but the article does already include an algorithmic application to the analysis of heapsort. —David Eppstein (talk) 17:27, 6 June 2021 (UTC)Reply[reply]