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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the $2k$-th power mean of character sums over the quarter interval
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by Zhefeng Xu PDF
Proc. Amer. Math. Soc. 136 (2008), 4175-4184 Request permission

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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Additional 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