| Title:
|
A note on the mean value of the general Kloosterman sums (English) |
| Author:
|
Yao, Weili |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
889-900 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
the general Kloosterman sums |
| Keyword:
|
mean value |
| Keyword:
|
calculating formula |
| MSC:
|
11L05 |
| idZBL:
|
Zbl 1249.11089 |
| idMR:
|
MR2886244 |
| DOI:
|
10.1007/s10587-011-0056-4 |
| . |
| Date available:
|
2011-12-16T15:34:33Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141794 |
| . |
| Reference:
|
[1] Andruhaev, H. M.: A sum of Kloosterman type.Certain Problems in the Theory of Fields (1964), 60-66. MR 0205939 |
| Reference:
|
[2] Chowla, S.: On Kloosterman's sum.Norkse Vid. Selbsk. Fak. Frondheim. 40 (1967), 70-72. Zbl 0157.09001, MR 0228452 |
| Reference:
|
[3] Liu, H. N.: Mean value of some exponential sums and applications to Kloosterman sums.J. Math. Anal. Appl. 361 (2010), 205-223. MR 2567295, 10.1016/j.jmaa.2009.08.064 |
| Reference:
|
[4] Malyshev, A. V.: A generalization of Kloosterman sums and their estimates.Russian Vestnik Leningrad Univ. 15 (1960), 59-75. MR 0125084 |
| Reference:
|
[5] Xu, Z. F., Zhang, T. P., Zhang, W. P.: On the mean value of two-term exponential sums with Dirichlet characters.J. Number Theory 123 (2007), 352-362. MR 2300819, 10.1016/j.jnt.2006.07.005 |
| Reference:
|
[6] Zhang, W. P.: On the general Kloosterman sum and its fourth power mean.J. Number Theory. 104 (2004), 156-161. Zbl 1039.11052, MR 2021631, 10.1016/S0022-314X(03)00154-9 |
| Reference:
|
[7] Zhang, W. P.: On the fourth power mean of the general Kloosterman sums.Indian J. Pure Appl. Math. 35 (2004), 237-242. Zbl 1046.11055, MR 2040736 |
| . |
