Geodesic
Some Generalizations of an Identity of Subhankulov
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 489-494

Voir la notice de l'article provenant de la source Cambridge

DOI

In 1957, M. A. Subhankulov established the following identity where ; μ is the Môbius function and J 2 is the Jordan totient function of order 2. Since the Ramanujan trigonometrical sum C(nr) = ∑d| (n, r)dμ(r/d), we rewrite the above identity using C(n, r).In this paper, we give a generalization of Ramanujan's sum, which generalizes some of the earlier generalizations mainly due to E. Cohen, and prove a theorem from which we deduce some generalizations of the above identity.
DOI : 10.4153/CMB-1977-073-6
Mots-clés : 10A20, 10A99, Möbius function, Jordan totient function, generalized Ramanujan's sum, k-free integers, Riemann zeta function 
Suryanarayana, D.; Walker, David T. Some Generalizations of an Identity of Subhankulov. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 489-494. doi: 10.4153/CMB-1977-073-6
@article{10_4153_CMB_1977_073_6,
     author = {Suryanarayana, D. and Walker, David T.},
     title = {Some {Generalizations} of an {Identity} of {Subhankulov}},
     journal = {Canadian mathematical bulletin},
     pages = {489--494},
     year = {1977},
     volume = {20},
     number = {4},
     doi = {10.4153/CMB-1977-073-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-073-6/}
}
TY  - JOUR
AU  - Suryanarayana, D.
AU  - Walker, David T.
TI  - Some Generalizations of an Identity of Subhankulov
JO  - Canadian mathematical bulletin
PY  - 1977
SP  - 489
EP  - 494
VL  - 20
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-073-6/
DO  - 10.4153/CMB-1977-073-6
ID  - 10_4153_CMB_1977_073_6
ER  - 
%0 Journal Article
%A Suryanarayana, D.
%A Walker, David T.
%T Some Generalizations of an Identity of Subhankulov
%J Canadian mathematical bulletin
%D 1977
%P 489-494
%V 20
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-073-6/
%R 10.4153/CMB-1977-073-6
%F 10_4153_CMB_1977_073_6

Cité par Sources :