Arithmetic derivative - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-21T15:55:53Z http://mathoverflow.net/feeds/question/85096 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85096/arithmetic-derivative Arithmetic derivative Benjamin Vitale 2012-01-06T22:58:23Z 2012-01-06T22:58:23Z <p>I am surprised that Mathworld Wolfram did not list "Arithmetic Derivative" but Wiki has</p> <p><a href="http://en.wikipedia.org/wiki/Arithmetic_derivative" rel="nofollow">http://en.wikipedia.org/wiki/Arithmetic_derivative</a></p> <p>You can use Arithmetic Derivative to formulate Goldbach's conjecture, twin prime and prime triples in an alternative way.</p> <p>E. J. Barbeau, "Remark on an arithmetic derivative", Canad. Math. Bull. 4 (1961), 117 <a href="http://www.maa.org/mathland/mathtrek_03_22_04.html" rel="nofollow">http://www.maa.org/mathland/mathtrek_03_22_04.html</a></p> <p>Ufnarovski and Åhlander (2003) <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL6/Ufnarovski/ufnarovski.pdf" rel="nofollow">http://www.cs.uwaterloo.ca/journals/JIS/VOL6/Ufnarovski/ufnarovski.pdf</a></p> <p>Why didn't Weisstein's Mathworld mention arithmetic derivative at all?</p> <p>@Benvitale</p>