The Convolution Sum Σm<n/16σ(m)σ(n – 16m)
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 3-14

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

DOI

The convolution sum $\sum{_{m is evaluated for all $n\,\in \,\mathbb{N}$ . This evaluation is used to determine the number of representations of $n$ by the quadratic form $x_{1}^{2}\,+\,x_{2}^{2}\,+\,x_{3}^{2}\,+\,x_{4}^{2}\,+\,4x_{5}^{2}\,+\,4x_{6}^{2}\,+\,4x_{7}^{2}\,+\,4x_{8}^{2}$ .
DOI : 10.4153/CMB-2008-001-1
Mots-clés : 11A25, 11E20, 11E25, divisor functions, convolution sums, Eisenstein series
Alaca, Ayşe; Alaca, Şaban; Williams, Kenneth S. The Convolution Sum Σm<n/16σ(m)σ(n – 16m). Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 3-14. doi: 10.4153/CMB-2008-001-1
@article{10_4153_CMB_2008_001_1,
     author = {Alaca, Ay\c{s}e and Alaca, \c{S}aban and Williams, Kenneth S.},
     title = {The {Convolution} {Sum} {\ensuremath{\Sigma}m&lt;n/16\ensuremath{\sigma}(m)\ensuremath{\sigma}(n} {\textendash} 16m)},
     journal = {Canadian mathematical bulletin},
     pages = {3--14},
     year = {2008},
     volume = {51},
     number = {1},
     doi = {10.4153/CMB-2008-001-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-001-1/}
}
TY  - JOUR
AU  - Alaca, Ayşe
AU  - Alaca, Şaban
AU  - Williams, Kenneth S.
TI  - The Convolution Sum Σm<n/16σ(m)σ(n – 16m)
JO  - Canadian mathematical bulletin
PY  - 2008
SP  - 3
EP  - 14
VL  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-001-1/
DO  - 10.4153/CMB-2008-001-1
ID  - 10_4153_CMB_2008_001_1
ER  - 
%0 Journal Article
%A Alaca, Ayşe
%A Alaca, Şaban
%A Williams, Kenneth S.
%T The Convolution Sum Σm<n/16σ(m)σ(n – 16m)
%J Canadian mathematical bulletin
%D 2008
%P 3-14
%V 51
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-001-1/
%R 10.4153/CMB-2008-001-1
%F 10_4153_CMB_2008_001_1

Cité par Sources :