Geodesic
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 University Press

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
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