@article {Manfred:2004:0236-5294:225,
	author = "Manfred Kuhleitner",
	author = "Werner Georg Nowak",
	title = "The average number of solutions of the Diophantine equation U2+V2=W3 and related arithmetic functions",
	journal = "Acta Mathematica Hungarica",
	volume = "104",
	year = "2004",
	abstract = "For the number of integer solutions of the title equation, with<I> W</I> <IMG SRC="/iso-ents/isotech/le.gif" ALT="le">;<I>x</I> (<I>x</I> a large parameter), an asymptotics of the form <I>Ax</I> log <I>x</I> + <I>Bx</I> + <I>O</I>(<I>x</I><SUP>1/2</SUP> (log <I>x</I>)<SUP>3</SUP> (loglog <I>x</I>)<SUP>2</SUP>) is established. This is achieved in a general setting which furnishes applications to some other natural arithmetic functions.",
	pages = "225-240(16)",
	url = "http://www.ingentaconnect.com/content/klu/amhu/2004/00000104/00000003/05380051"
	doi = "doi:10.1023/B:AMHU.0000036284.91580.3e"
}