A hybrid mean value of the Dedekind sums

Hai Yang

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1055-1063
  • ISSN: 0011-4642

Abstract

top
The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.

How to cite

top

Yang, Hai. "A hybrid mean value of the Dedekind sums." Czechoslovak Mathematical Journal 60.4 (2010): 1055-1063. <http://eudml.org/doc/196534>.

@article{Yang2010,
abstract = {The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.},
author = {Yang, Hai},
journal = {Czechoslovak Mathematical Journal},
keywords = {Dedekind sums; Dirichlet $L$-function; mean value; Dedekind sum; Dirichlet -function; mean value},
language = {eng},
number = {4},
pages = {1055-1063},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A hybrid mean value of the Dedekind sums},
url = {http://eudml.org/doc/196534},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Yang, Hai
TI - A hybrid mean value of the Dedekind sums
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1055
EP - 1063
AB - The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
LA - eng
KW - Dedekind sums; Dirichlet $L$-function; mean value; Dedekind sum; Dirichlet -function; mean value
UR - http://eudml.org/doc/196534
ER -

References

top
  1. Carlitz, L., 10.2140/pjm.1953.3.513, Pac. J. Math. 3 (1953), 513-522. (1953) MR0056020DOI10.2140/pjm.1953.3.513
  2. Rademacher, H., On the transformation of log η ( τ ) , J. Indian Math. Soc. 19 (1955), 25-30. (1955) Zbl0064.32703MR0070660
  3. Mordell, L. J., 10.2307/2372310, Am. J. Math. 73 (1951), 593-598. (1951) Zbl0042.27401MR0042449DOI10.2307/2372310
  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. Walum, H., An exact formula for an average of L -series, Il. J. Math. 26 (1982), 1-3. (1982) Zbl0464.10030MR0638548
  6. Zhang, W., 10.5802/jtnb.179, J. Théor. Nombres Bordx. 8 (1996), 429-442. (1996) Zbl0871.11033MR1438480DOI10.5802/jtnb.179
  7. Toyoizumi, M., 10.4064/aa-55-3-229-232, Acta Arith. 55 (1990), 229-232. (1990) Zbl0702.11054MR1067970DOI10.4064/aa-55-3-229-232

NotesEmbed ?

top

You must be logged in to post comments.