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Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$
Kazuhiro Onodera
Source: Funct. Approx. Comment. Math. Volume 41, Number 1 (2009), 71-103.
Abstract
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.
Primary Subjects: 11L40
Keywords: character sum; Jacobi symbol
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Permanent link to this document: http://projecteuclid.org/euclid.facm/1254330160
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Functiones et Approximatio Commentarii Mathematici
