A Multiple sum Involving the MÖbius Function
Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 31 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider a multiple arithmetical sum involving the Möbius function which despite its elementary appearance is in fact of a highly intriguing nature. We establish an asymptotic formula for the quadruple case that raises the first genuinely non-trivial situation. This is a rework of an old unpublished note of ours.
DOI : 10.2298/PIM0476031M
Classification : 11A25 11M06
Keywords: Möbius function
@article{10_2298_PIM0476031M,
     author = {Yoichi Motohashi},
     title = {A {Multiple} sum {Involving} the {M\"Obius} {Function}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {31 },
     publisher = {mathdoc},
     volume = {_N_S_76},
     number = {90},
     year = {2004},
     doi = {10.2298/PIM0476031M},
     zbl = {1098.11049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0476031M/}
}
TY  - JOUR
AU  - Yoichi Motohashi
TI  - A Multiple sum Involving the MÖbius Function
JO  - Publications de l'Institut Mathématique
PY  - 2004
SP  - 31 
VL  - _N_S_76
IS  - 90
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0476031M/
DO  - 10.2298/PIM0476031M
LA  - en
ID  - 10_2298_PIM0476031M
ER  - 
%0 Journal Article
%A Yoichi Motohashi
%T A Multiple sum Involving the MÖbius Function
%J Publications de l'Institut Mathématique
%D 2004
%P 31 
%V _N_S_76
%N 90
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0476031M/
%R 10.2298/PIM0476031M
%G en
%F 10_2298_PIM0476031M
Yoichi Motohashi. A Multiple sum Involving the MÖbius Function. Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 31 . doi : 10.2298/PIM0476031M. http://geodesic.mathdoc.fr/articles/10.2298/PIM0476031M/

Cité par Sources :