A hybrid mean value related to Dedekind sums

Jianghua Li; Wenpeng Zhang

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1171-1180
  • ISSN: 0011-4642

Abstract

top
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.

How to cite

top

Li, Jianghua, and Zhang, Wenpeng. "A hybrid mean value related to Dedekind sums." Czechoslovak Mathematical Journal 60.4 (2010): 1171-1180. <http://eudml.org/doc/196844>.

@article{Li2010,
abstract = {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.},
author = {Li, Jianghua, Zhang, Wenpeng},
journal = {Czechoslovak Mathematical Journal},
keywords = {the Dedekind sum; hybrid mean value; asymptotic formula; identity; Dedekind sum; hybrid mean value; asymptotic formula; identity},
language = {eng},
number = {4},
pages = {1171-1180},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A hybrid mean value related to Dedekind sums},
url = {http://eudml.org/doc/196844},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Li, Jianghua
AU - Zhang, Wenpeng
TI - A hybrid mean value related to Dedekind sums
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1171
EP - 1180
AB - 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.
LA - eng
KW - the Dedekind sum; hybrid mean value; asymptotic formula; identity; Dedekind sum; hybrid mean value; asymptotic formula; identity
UR - http://eudml.org/doc/196844
ER -

References

top
  1. Apostol, T. M., Introduction to Analytic Number Theory, Springer New York (1976). (1976) Zbl0335.10001MR0434929
  2. Apostol, T. M., Modular Functions and Dirichlet Series in Number Theory, Springer New York (1976). (1976) Zbl0332.10017MR0422157
  3. Carlitz, L., 10.2140/pjm.1953.3.513, Pac. J. Math. 3 (1954), 513-522. (1954) Zbl0057.03703MR0056020DOI10.2140/pjm.1953.3.513
  4. Conrey, J. B., Fransen, E., Klein, R., Scott, C., 10.1006/jnth.1996.0014, J. Number Theory 56 (1996), 214-226. (1996) Zbl0851.11028MR1373548DOI10.1006/jnth.1996.0014
  5. Jia, C., 10.1006/jnth.2000.2580, J. Number Theory 87 (2001), 173-188. (2001) Zbl0976.11044MR1824141DOI10.1006/jnth.2000.2580
  6. Zhang, W., 10.1023/A:1006724724840, Acta Math. Hung. 86 (2000), 275-289. (2000) Zbl0963.11049MR1756252DOI10.1023/A:1006724724840
  7. Zhang, W., 10.5802/jtnb.179, J. Théor. Nombres Bordx. 8 (1996), 429-442. (1996) Zbl0871.11033MR1438480DOI10.5802/jtnb.179

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.