On sums of two cubes: an Ω₊-estimate for the error term
Acta Arithmetica, Tome 85 (1998) no. 2, pp. 179-195
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The arithmetic function $r_k(n)$ counts the number of ways to write a natural number n as a sum of two kth powers (k ≥ 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of $r_k(n)$ leads in a natural way to a certain error term $P_{
Affiliations des auteurs :
M. Kühleitner 1 ; W. Nowak 1 ; J. Schoissengeier 1 ; T. Wooley 1
@article{10_4064_aa_85_2_179_195,
author = {M. K\"uhleitner and W. Nowak and J. Schoissengeier and T. Wooley},
title = {On sums of two cubes: an {\ensuremath{\Omega}₊-estimate} for the error term},
journal = {Acta Arithmetica},
pages = {179--195},
publisher = {mathdoc},
volume = {85},
number = {2},
year = {1998},
doi = {10.4064/aa-85-2-179-195},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-85-2-179-195/}
}
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M. Kühleitner; W. Nowak; J. Schoissengeier; T. Wooley. On sums of two cubes: an Ω₊-estimate for the error term. Acta Arithmetica, Tome 85 (1998) no. 2, pp. 179-195. doi: 10.4064/aa-85-2-179-195
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