Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$
Onodera, Kazuhiro
Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, p. 71-103 / Harvested from Project Euclid
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We give a nontrivial estimate of a certain sum involving the Jacobi symbol in $\mathbb{Z}[i]$ which is a generalization of Heath-Brown's character sum estimate.
Publié le : 2009-09-15
Classification:  character sum,  Jacobi symbol,  11L40 
@article{1254330160,
     author = {Onodera, Kazuhiro},
     title = {Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$},
     journal = {Funct. Approx. Comment. Math.},
     volume = {40},
     number = {1},
     year = {2009},
     pages = { 71-103},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1254330160}
}

Onodera, Kazuhiro. Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$. Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, pp.  71-103. http://gdmltest.u-ga.fr/item/1254330160/