| Title:
|
A hybrid mean value related to Dedekind sums (English) |
| Author:
|
Li, Jianghua |
| Author:
|
Zhang, Wenpeng |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
1171-1180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this paper is to study a hybrid mean value problem related to the Dedekind sums by using estimates of character sums and analytic methods. (English) |
| Keyword:
|
the Dedekind sum |
| Keyword:
|
hybrid mean value |
| Keyword:
|
asymptotic formula |
| Keyword:
|
identity |
| MSC:
|
11F20 |
| idZBL:
|
Zbl 1224.11083 |
| idMR:
|
MR2738978 |
| . |
| Date available:
|
2010-11-20T14:05:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140815 |
| . |
| Reference:
|
[1] Apostol, T. M.: Introduction to Analytic Number Theory.Springer New York (1976). Zbl 0335.10001, MR 0434929 |
| Reference:
|
[2] Apostol, T. M.: Modular Functions and Dirichlet Series in Number Theory.Springer New York (1976). Zbl 0332.10017, MR 0422157 |
| Reference:
|
[3] Carlitz, L.: The reciprocity theorem for Dedekind sums.Pac. J. Math. 3 (1954), 513-522. Zbl 0057.03703, MR 0056020, 10.2140/pjm.1953.3.513 |
| Reference:
|
[4] Conrey, J. B., Fransen, E., Klein, R., Scott, C.: Mean values of Dedekind sums.J. Number Theory 56 (1996), 214-226. Zbl 0851.11028, MR 1373548, 10.1006/jnth.1996.0014 |
| Reference:
|
[5] Jia, C.: On the mean value of Dedekind sums.J. Number Theory 87 (2001), 173-188. Zbl 0976.11044, MR 1824141, 10.1006/jnth.2000.2580 |
| Reference:
|
[6] Zhang, W.: A note on the mean square value of the Dedekind sums.Acta Math. Hung. 86 (2000), 275-289. Zbl 0963.11049, MR 1756252, 10.1023/A:1006724724840 |
| Reference:
|
[7] Zhang, W.: On the mean values of Dedekind Sums.J. Théor. Nombres Bordx. 8 (1996), 429-442. Zbl 0871.11033, MR 1438480, 10.5802/jtnb.179 |
| . |
