Geodesic
Note on some greatest common divisor matrices
Acta Arithmetica, Tome 84 (1998) no. 2, pp. 149-154

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Some quadratic forms related to "greatest common divisor matrices" are represented in terms of L²-norms of rather simple functions. Our formula is especially useful when the size of the matrix grows, and we will study the asymptotic behaviour of the smallest and largest eigenvalues. Indeed, a sharp bound in terms of the zeta function is obtained. Our leading example is a hybrid between Hilbert's matrix and Smith's matrix.
DOI : 10.4064/aa-84-2-149-154

Peter Lindqvist 1 ; Kristian Seip 1

1 
@article{10_4064_aa_84_2_149_154,
     author = {Peter Lindqvist and Kristian Seip},
     title = {Note on some greatest common divisor matrices},
     journal = {Acta Arithmetica},
     pages = {149--154},
     publisher = {mathdoc},
     volume = {84},
     number = {2},
     year = {1998},
     doi = {10.4064/aa-84-2-149-154},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-149-154/}
}
TY  - JOUR
AU  - Peter Lindqvist
AU  - Kristian Seip
TI  - Note on some greatest common divisor matrices
JO  - Acta Arithmetica
PY  - 1998
SP  - 149
EP  - 154
VL  - 84
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-149-154/
DO  - 10.4064/aa-84-2-149-154
LA  - en
ID  - 10_4064_aa_84_2_149_154
ER  - 
%0 Journal Article
%A Peter Lindqvist
%A Kristian Seip
%T Note on some greatest common divisor matrices
%J Acta Arithmetica
%D 1998
%P 149-154
%V 84
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-84-2-149-154/
%R 10.4064/aa-84-2-149-154
%G en
%F 10_4064_aa_84_2_149_154
Peter Lindqvist; Kristian Seip. Note on some greatest common divisor matrices. Acta Arithmetica, Tome 84 (1998) no. 2, pp. 149-154. doi: 10.4064/aa-84-2-149-154

Cité par Sources :