The number of representations of a positive integer by certain octonary quadratic forms
Alaca, Şaban ; Williams, Kenneth S.
Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 45-54 / Harvested from Project Euclid
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The number of representations of a positive integer by each of the octonary quadratic forms $x_1^2 +x_2^2 +3x_3^2 +3x_4^2 +3x_5^2 +3x_6^2 +3x_7^2 +3x_8^2$, $x_1^2 +x_2^2 +x_3^2 +x_4^2 +3x_5^2 +3x_6^2 +3x_7^2 +3x_8^2$, $x_1^2 +x_2^2 +x_3^2 +x_4^2 +x_5^2 +x_6^2 +3x_7^2 +3x_8^2$ is determined.
Publié le : 2010-09-15
Classification:  octonary quadratic forms,  representations,  theta functions,  Eisenstein series,  11E25,  11F27 
@article{1285679145,
     author = {Alaca, \c Saban and Williams, Kenneth S.},
     title = {The number of representations of a positive integer by certain octonary quadratic forms},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 45-54},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285679145}
}

Alaca, Şaban; Williams, Kenneth S. The number of representations of a positive integer by certain octonary quadratic forms. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  45-54. http://gdmltest.u-ga.fr/item/1285679145/