A note on the $2k$-th power mean of character sums over the quarter interval
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- by Zhefeng Xu
- Proc. Amer. Math. Soc. 136 (2008), 4175-4184
- DOI: https://doi.org/10.1090/S0002-9939-08-09639-1
- Published electronically: July 30, 2008
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Abstract:
We obtain an asymptotic formula for the $2k$-th power mean of odd primitive character sums over the interval $[1, \frac {q}{4})$.References
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Bibliographic Information
- Zhefeng Xu
- Affiliation: Department of Mathematics, Northwest University, Xi’an, Shaanxi, People’s Republic of China
- Email: zhefengxu@hotmail.com; zfxu@nwu.edu.cn
- Received by editor(s): November 8, 2007
- Published electronically: July 30, 2008
- Additional Notes: The author was supported by NSF(10671155) of the People’s Republic of China
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4175-4184
- MSC (2000): Primary 11L40, 11L10; Secondary 11M38
- DOI: https://doi.org/10.1090/S0002-9939-08-09639-1
- MathSciNet review: 2431030