Geodesic
Mean values of a gcd-sum function over regular integers modulo $n$
Journal of integer sequences, Tome 13 (2010) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the mean value of a gcd-sum function over regular integers modulo $n$. In particular, we improve the previous result under the Riemann hypothesis (RH). We also study the short interval problem for it without assuming RH.
Classification : 11N37
Keywords: gcd-sum function, regular integers modulo n, Riemann hypothesis, short interval result 
@article{JIS_2010__13_4_a7,
     author = {Zhang, Deyu and Zhai, Wenguang},
     title = {Mean values of a gcd-sum function over regular integers modulo $n$},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_4_a7/}
}
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Zhang, Deyu; Zhai, Wenguang. Mean values of a gcd-sum function over regular integers modulo $n$. Journal of integer sequences, Tome 13 (2010) no. 4. http://geodesic.mathdoc.fr/item/JIS_2010__13_4_a7/