The average number of solutions of the Diophantine equation U^2 + V^2 = W^3 and related arithmetic functions

Simple item page
dc.creatorK"\uhleitner, Manfred
dc.creatorNowak, Werner Georg
dc.date2003-07-16
dc.date.accessioned2026-07-07T06:26:51Z
dc.date.available2026-07-07T06:26:51Z
dc.descriptionThis paper provides asymptotics with a sharp error term for the Dirichlet summatory function of a certain class of arithmetic functions. The result applies, e.g., to the sums over r^2(n) and r(n^3), where r(m) denotes the number of ways to write m as a sum of two squares of integers.
dc.identifierhttps://arxiv.org/abs/math/0307221
dc.identifierhttp://arxiv.org/abs/math/0307221
dc.identifierActa Math. Hung. 104 (2004), 225-240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97242
dc.subjectNumber Theory
dc.subject11N37
dc.titleThe average number of solutions of the Diophantine equation U^2 + V^2 = W^3 and related arithmetic functions
dc.typetext

Files

Collections

arXiv