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September 2009 Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$
Kazuhiro Onodera
Funct. Approx. Comment. Math. 41(1): 71-103 (September 2009). DOI: 10.7169/facm/1254330160

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.

Citation

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Kazuhiro Onodera. "Bound for the sum involving the Jacobi symbol in $\mathbb{Z}[i]$." Funct. Approx. Comment. Math. 41 (1) 71 - 103, September 2009. https://doi.org/10.7169/facm/1254330160

Information

Published: September 2009
First available in Project Euclid: 30 September 2009

zbMATH: 1263.11102
MathSciNet: MR2568797
Digital Object Identifier: 10.7169/facm/1254330160

Subjects:
Primary: 11L40

Keywords: character sum , Jacobi symbol

Rights: Copyright © 2009 Adam Mickiewicz University

Vol.41 • No. 1 • September 2009
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