A note on the mean value of the general Kloosterman sums

Weili Yao

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 4, page 889-900
  • ISSN: 0011-4642

Abstract

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The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.

How to cite

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Yao, Weili. "A note on the mean value of the general Kloosterman sums." Czechoslovak Mathematical Journal 61.4 (2011): 889-900. <http://eudml.org/doc/196361>.

@article{Yao2011,
abstract = {The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.},
author = {Yao, Weili},
journal = {Czechoslovak Mathematical Journal},
keywords = {the general Kloosterman sums; mean value; calculating formula; general Kloosterman sum; mean value; calculating formula},
language = {eng},
number = {4},
pages = {889-900},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the mean value of the general Kloosterman sums},
url = {http://eudml.org/doc/196361},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Yao, Weili
TI - A note on the mean value of the general Kloosterman sums
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 4
SP - 889
EP - 900
AB - The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.
LA - eng
KW - the general Kloosterman sums; mean value; calculating formula; general Kloosterman sum; mean value; calculating formula
UR - http://eudml.org/doc/196361
ER -

References

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  1. Andruhaev, H. M., A sum of Kloosterman type, Certain Problems in the Theory of Fields (1964), 60-66. (1964) MR0205939
  2. Chowla, S., On Kloosterman's sum, Norkse Vid. Selbsk. Fak. Frondheim. 40 (1967), 70-72. (1967) Zbl0157.09001MR0228452
  3. Liu, H. N., 10.1016/j.jmaa.2009.08.064, J. Math. Anal. Appl. 361 (2010), 205-223. (2010) MR2567295DOI10.1016/j.jmaa.2009.08.064
  4. Malyshev, A. V., A generalization of Kloosterman sums and their estimates, Russian Vestnik Leningrad Univ. 15 (1960), 59-75. (1960) MR0125084
  5. Xu, Z. F., Zhang, T. P., Zhang, W. P., 10.1016/j.jnt.2006.07.005, J. Number Theory 123 (2007), 352-362. (2007) MR2300819DOI10.1016/j.jnt.2006.07.005
  6. Zhang, W. P., 10.1016/S0022-314X(03)00154-9, J. Number Theory. 104 (2004), 156-161. (2004) Zbl1039.11052MR2021631DOI10.1016/S0022-314X(03)00154-9
  7. Zhang, W. P., On the fourth power mean of the general Kloosterman sums, Indian J. Pure Appl. Math. 35 (2004), 237-242. (2004) Zbl1046.11055MR2040736

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