Functiones et Approximatio Commentarii Mathematici
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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.

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Primary Subjects: 11L40
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.facm/1254330160
Zentralblatt MATH identifier: 05635533
Mathematical Reviews number (MathSciNet): MR2568797
Digital Object Identifier: doi:10.7169/facm/1254330160

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Functiones et Approximatio Commentarii Mathematici

Functiones et Approximatio Commentarii Mathematici