Geodesic
A Generalization of Smith's Determinant
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 109-113

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

DOI

We shall evaluate the determinants of n x n matrices of the form [f(i,j)], where f (w, r) is an even function of m (mod r). Among the examples of determinants of this kind are H. J. S. Smith's determinant det [(i,j)], where (m, r) is the greatest common divisor of m and r, and a generalization of Smith's determinant due to T. M. Apostol.
DOI : 10.4153/CMB-1986-020-1
Mots-clés : 10A20 
McCarthy, P. J. A Generalization of Smith's Determinant. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 109-113. doi: 10.4153/CMB-1986-020-1
@article{10_4153_CMB_1986_020_1,
     author = {McCarthy, P. J.},
     title = {A {Generalization} of {Smith's} {Determinant}},
     journal = {Canadian mathematical bulletin},
     pages = {109--113},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-020-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-020-1/}
}
TY  - JOUR
AU  - McCarthy, P. J.
TI  - A Generalization of Smith's Determinant
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 109
EP  - 113
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-020-1/
DO  - 10.4153/CMB-1986-020-1
ID  - 10_4153_CMB_1986_020_1
ER  - 
%0 Journal Article
%A McCarthy, P. J.
%T A Generalization of Smith's Determinant
%J Canadian mathematical bulletin
%D 1986
%P 109-113
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-020-1/
%R 10.4153/CMB-1986-020-1
%F 10_4153_CMB_1986_020_1

Cité par Sources :