Geodesic
AN OMEGA THEOREM ON DIFFERENCES OF TWO SQUARES, II
Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1 
M. Kuhleitner. AN OMEGA THEOREM ON DIFFERENCES OF TWO SQUARES, II. Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a2/
@article{AMUC_1999_68_1_a2,
     author = {M. Kuhleitner},
     title = {AN {OMEGA} {THEOREM} {ON} {DIFFERENCES} {OF} {TWO} {SQUARES,} {II}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1999},
     volume = {68},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let $\rho(n)$ denote the number of pairs $(u,v)\in \N\times \Z$ with $u^2-v^2=\nomathbreak n$. Due to a formula of Sierpinski, $\rho(n)$ is closely related to the classical divisor function $d(n)$. We establish a lower bound for the remainder term in the asymptotic expansion for the Dirichlet summatory function of $\rho(n)$.