A hybrid mean value related to certain Hardy sums and Kloosterman sums

Xiaoyan Guo; Wenpeng Zhang

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 3, page 759-769
  • ISSN: 0011-4642

Abstract

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The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.

How to cite

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Guo, Xiaoyan, and Zhang, Wenpeng. "A hybrid mean value related to certain Hardy sums and Kloosterman sums." Czechoslovak Mathematical Journal 61.3 (2011): 759-769. <http://eudml.org/doc/196640>.

@article{Guo2011,
abstract = {The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.},
author = {Guo, Xiaoyan, Zhang, Wenpeng},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hardy sums; the Kloosterman sums; hybrid mean value; asymptotic formula; identity; Hardy sum; Kloosterman sum; hybrid mean value; asymptotic formula},
language = {eng},
number = {3},
pages = {759-769},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A hybrid mean value related to certain Hardy sums and Kloosterman sums},
url = {http://eudml.org/doc/196640},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Guo, Xiaoyan
AU - Zhang, Wenpeng
TI - A hybrid mean value related to certain Hardy sums and Kloosterman sums
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 3
SP - 759
EP - 769
AB - The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.
LA - eng
KW - Hardy sums; the Kloosterman sums; hybrid mean value; asymptotic formula; identity; Hardy sum; Kloosterman sum; hybrid mean value; asymptotic formula
UR - http://eudml.org/doc/196640
ER -

References

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  7. Zhang, W., 10.1023/A:1006724724840, Acta Math. Hung. 86 (2000), 275-289. (2000) Zbl0963.11049MR1756252DOI10.1023/A:1006724724840
  8. Zhang, W., 10.5802/jtnb.179, J. Théor. Nombres. 8 (1996), 429-442. (1996) Zbl0871.11033MR1438480DOI10.5802/jtnb.179
  9. Zhang, W., Yi, Y., On the 2 m -th power mean of certain Hardy sums, Soochow J. Math. 26 (2000), 73-84. (2000) Zbl0999.11060MR1755136
  10. Zhang, W., Yi, Y., On the 2 m -th power mean of certain Hardy sums, Soochow J. Math. 26 (2000), 73-84. (2000) Zbl0999.11060MR1755136

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