Sums with convolutions of Dirichlet characters to cube-free modulus
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- by Ahmet Muhtar Güloğlu PDF
- Proc. Amer. Math. Soc. 139 (2011), 3195-3202 Request permission
Abstract:
We find estimates for short sums of the form $\sum _{nm \leqslant X} \chi _1 (n) \chi _2 (m)$, where $\chi _1$ and $\chi _2$ are non-principal Dirichlet characters to modulus $q$, a cube-free integer, and $X$ can be taken as small as $q^{\frac 12+\epsilon }$.References
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Additional Information
- Ahmet Muhtar Güloğlu
- Affiliation: Department of Mathematics, Bilkent University, Bilkent, 06800 Ankara, Turkey
- Email: guloglua@fen.bilkent.edu.tr
- Received by editor(s): January 12, 2010
- Received by editor(s) in revised form: August 21, 2010
- Published electronically: February 3, 2011
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3195-3202
- MSC (2010): Primary 11L40
- DOI: https://doi.org/10.1090/S0002-9939-2011-10753-6
- MathSciNet review: 2811275