Geodesic
An elementary proof of some character sum identities of Apostol
Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 50-53

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

Let х denote a primitive character modulo k. Using two different representations for Dirichlet L-functions, Apostol [1] recently derived a representation forinvolving the sumswhere m is a positive integer. Furthermore, if х(r) = (r|p)the residue class character modulo the odd prime p, he derived a representation for Mm(х) involving the sums 
Berndt, Bruce C. An elementary proof of some character sum identities of Apostol. Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 50-53. doi: 10.1017/S0017089500001713
@article{10_1017_S0017089500001713,
     author = {Berndt, Bruce C.},
     title = {An elementary proof of some character sum identities of {Apostol}},
     journal = {Glasgow mathematical journal},
     pages = {50--53},
     year = {1973},
     volume = {14},
     number = {1},
     doi = {10.1017/S0017089500001713},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001713/}
}
TY  - JOUR
AU  - Berndt, Bruce C.
TI  - An elementary proof of some character sum identities of Apostol
JO  - Glasgow mathematical journal
PY  - 1973
SP  - 50
EP  - 53
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001713/
DO  - 10.1017/S0017089500001713
ID  - 10_1017_S0017089500001713
ER  - 
%0 Journal Article
%A Berndt, Bruce C.
%T An elementary proof of some character sum identities of Apostol
%J Glasgow mathematical journal
%D 1973
%P 50-53
%V 14
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001713/
%R 10.1017/S0017089500001713
%F 10_1017_S0017089500001713

[1] 1.Apostol, T. M., Dirichlet L.-functions and character power sums, J. Number Theory 1 (1970), 223–234. Google Scholar

[2] 2.Davenport, H., Multiplicative number theory(Chicago, 1967). Google Scholar

Cité par Sources :