Geodesic
Divisors of Integers in Arithmetic Progression
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 129-134

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

DOI

Let d(n; l, k) be the number of positive divisors of n which lie in the arithmetic progression l mod k. Using the complex integration technique the formula is proved. This formula holds uniformly in l, k and x satisfying 1 ≦ l ≦ k, (lx)1/2 ≦ k ≦ x1-∊ ; the exponent α ≦ 1/3.
DOI : 10.4153/CMB-1990-022-8
Mots-clés : 11N37, 11M35, 11M41 
Varbanec, P. D.; Zarzycki, P. Divisors of Integers in Arithmetic Progression. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 129-134. doi: 10.4153/CMB-1990-022-8
@article{10_4153_CMB_1990_022_8,
     author = {Varbanec, P. D. and Zarzycki, P.},
     title = {Divisors of {Integers} in {Arithmetic} {Progression}},
     journal = {Canadian mathematical bulletin},
     pages = {129--134},
     year = {1990},
     volume = {33},
     number = {2},
     doi = {10.4153/CMB-1990-022-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-022-8/}
}
TY  - JOUR
AU  - Varbanec, P. D.
AU  - Zarzycki, P.
TI  - Divisors of Integers in Arithmetic Progression
JO  - Canadian mathematical bulletin
PY  - 1990
SP  - 129
EP  - 134
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-022-8/
DO  - 10.4153/CMB-1990-022-8
ID  - 10_4153_CMB_1990_022_8
ER  - 
%0 Journal Article
%A Varbanec, P. D.
%A Zarzycki, P.
%T Divisors of Integers in Arithmetic Progression
%J Canadian mathematical bulletin
%D 1990
%P 129-134
%V 33
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-022-8/
%R 10.4153/CMB-1990-022-8
%F 10_4153_CMB_1990_022_8

Cité par Sources :