# Talk:Apéry's constant

WikiProject Mathematics (Rated Start-class, Mid-importance)
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Mathematics rating:
 Start Class
 Mid Importance
Field: Analysis

## Request for expansion

This article is way too esoteric. It is a "curious number that occurs in a variety of situations", but why is it curious, and in what situations does it appear? Can someone please give a layman's description of this number? --SECurtisTX | talk 22:21, 7 March 2007 (UTC)

## Merge suggestion

Since no one has expanded this article, I have changed the tag to Merge. I don't believe this is an adequate stand-alone article. It has very little meaning out of context. --SECurtisTX | talk 19:22, 20 March 2007 (UTC)

I disagree with the merge. There is too much information here to merge into the RZF article, and there is still more information that can be added. There are stubs out there that won't come close to the size of this article for years. darkliight[πalk] 12:20, 28 March 2007 (UTC)
Don't merge. There is enough to justify an article on ζ(3). Charles Matthews 12:22, 13 May 2007 (UTC)

## Random Integers

The article states that the inverse of this constant is the probability that three random integers are coprime. What distribution should these integers be drawn from? There is no such thing as a uniform distribution on all the integers. topynate 20:14, 7 August 2007 (UTC)

Possibly this should be in Riemann zeta function, but, it's probably indicates an attempt to encapsulate the limit as n$\infty$ of the probablity that three random integers ≤ n are coprime. — Arthur Rubin | (talk) 18:55, 8 August 2007 (UTC)
Actual explanation is in Coprime#Probabilities. — Arthur Rubin | (talk) 19:08, 8 August 2007 (UTC)

## Summation

If this is correct, may I put it in the lead for compactness?

$\zeta(3)=\sum_{k=1}^\infty\frac{1}{i^3}=1+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\cdots$

Mouse is back 02:16, 18 August 2008 (UTC)

It's correct. I don't think anyone would mind it being added in. Cheers, Ben (talk) 08:40, 18 August 2008 (UTC)

## Removal of infobox

Based upon a discussion at Wikipedia talk:WikiProject Mathematics#"Infoboxes" on number articles, I've removed the infobox from the article. If anyone disagrees, could you please join the discussion there. Thanks, Paul August 12:40, 18 October 2009 (UTC)

I have suggested centralizing this discussion to Wikipedia_talk:WikiProject_Mathematics#Irrational_numbers_infobox and Wikipedia_talk:WikiProject_Mathematics#Infobox_with_various_expansions as it refers to an infobox occurring in several articles. Please go there to build consensus on this edit. RobHar (talk) 19:34, 18 October 2009 (UTC)

$\int_0^1\frac{\ln x\cdot\ln(1-x)}x\,\text{d}x\,=\,\zeta(3)$