Sums with convolutions of Dirichlet characters

descriptionPublicationkeyboard_double_arrow_right Article 18 Jun 2010 English Publisher:Springer Science and Business Media LLCJournal:manuscripta mathematica, volume 133, pages 105-114 (issn: 0025-2611, eissn: 1432-1785,

Authors: William D. Banks; Igor E. Shparlinski;

doi: 10.1007/s00229-010-0364-2

Sums with convolutions of Dirichlet characters

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Abstract

We bound short sums of the form \({\sum_{n\le X}(\chi_1{*}\chi_2)(n)}\), where χ1*χ2 is the convolution of two primitive Dirichlet characters χ1 and χ2 with conductors q1 and q2, respectively.

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